This section is from the book "The American House Carpenter", by R. G. Hatfield. Also available from Amazon: The American House Carpenter.
(From Hutton's Mathematics.)
No. | Cube. | Sq. Root. | CubeRoot. | |
1 | 1 | 1 | 1.0000000 | 1.000000 |
2 | 4 | 8 | 1.4142136 | 1.259921 |
3 | 9 | 27 | 1.7320508 | 1.442250 |
4 | 16 | 64 | 2.0000000 | 1.537401 |
5 | 25 | 125 | 2.2360680 | 1.709976 |
6 | 36 | 216 | 2.4494897 | 1.817121 |
7 | 49 | 343 | 2.6457513 | 1.912931 |
8 | 64 | 512 | 2.8284271 | 2.000300 |
9 | 81 | 729 | 3.0000000 | 2.080084 |
10 | 100 | 1000 | 3.1622777 | 2.154435 |
11 | 121 | 1331 | 3.3166243 | 2.223930 |
12 | 144 | 1728 | 3.4641016 | 2.239429 |
13 | 169 | 2197 | 3.6055513 | 2351335 |
14 | 196 | 2744 | 3.7416574 | 2.410142 |
15 | 225 | 3375 | 3.8729833 | 2.466212 |
16 | 256 | 4096 | 4. 0000000 | 2.519842 |
17 | 239 | 4913 | 41231056 | 2.571282 |
18 | 324 | 5332 | 4.2426407 | 2.620741 |
19 | 361 | 6859 | 4.3588989 | 2.663402 |
20 | 400 | 8000 | 4.4721360 | 2.714418 |
21 | 441 | 9261 | 4.5825757 | 2.758924 |
22 | 484 | 10643 | 4.6904158 | 2.802039 |
23 | 529 | 12167 | 4.7953315 | 2.843367 |
24 | 576 | 13324 | 4.8989795 | 2.884499 |
25 | 625 | 15625 | 5.0000000 | 2.924018 |
26 | 676 | 17576 | 5.0990195 | 2.962496 |
27 | 729 | 19683 | 5.1961524 | 3.000000 |
28 | 784 | 21952 | 5 .2915028 | 3.036589 |
29 | 841 | 24389 | 5.3851648 | 3.072317 |
30 | 900 | 27000 | 5.4772256 | 3.107232 |
31 | 961 | 29791 | 55677644 | 3.141331 |
32 | 1024 | 32763 | 5.6568542 | 3.174802 |
33 | 1089 | 35937 | 5 7445626 | 3.207534 |
34 | 1156 | 39304 | 5.8399519 | 3.239612 |
35 | 1225 | 42875 | 5.9160798 | 3.271066 |
36 | 1296 | 46656 | 6 0000000 | 3.391927 |
37 | 1369 | 50653 | 6.0327625 | 3.332222 |
38 | 1444 | 54872 | 61644140 | 3.361975 |
39 | 1521 | 59319 | 6.2449980 | 3.391211 |
40 | 1600 | 64000 | 6.3245553 | 3.419952 |
41 | 1681 | 68921 | 6.4031242 | 3. 448217 |
42 | 1764 | 74038 | 6.4807407 | 3.476027 |
43 | 1849 | 79507 | 6.5574385 | 3.503398 |
44 | 1936 | 85184 | 6 6332496 | 3533348 |
45 | 2025 | 91125 | 6.7082039 | 3.556893 |
46 | 2116 | 97336 | 6.7823300 | 3.533348 |
47 | 2209 | 103323 | 6.8556546 | 3.608826 |
48 | 2304 | 110592 | 6.9232032 | 3.634241 |
49 | 2401 | 117649 | 7.0090030 | 3.659336 |
50 | 2500 | 125000 | 70710678 | 3.634031 |
51 | 2601 | 132651 | 7.1414284 | 3.708433 |
52 | 2704 | 140608 | 7.2111026 | 3.732511 |
53 | 2809 | 148877 | 7.2301099 | 3.756286 |
54 | 2916 | 157461 | 7.3484692 | 3.779763 |
55 | 3025 | 166375 | 7.4161985 | 3.302952 |
56 | 3136 | 175616 | 7.4833148 | 3.825862 |
57 | 3219 | 185193 | 7.5493344 | 3.343501 |
58 | 3364 | 195112 | 7.6157731 | 3.870877 |
59 | 3481 | 205379 | 7.6311457 | 3.892996 |
60 | 3600 | 216000 | 7.7459667 | 3.914868 |
61 | 3721 | 226981 | 7.8102497 | 3.936497 |
62 | 3344 | 233328 | 7.8740079 | 3..957891 |
63 | 3969 | 250047 | 7.9372539 | 3.979057 |
64 | 4096 | 262144 | 8. 0000000 | 4.000000 |
65 | 4225 | 274625 | 8.0622577 | 4.029726 |
66 | 4356 | 237496 | 8.1240384 | 4041240 |
67 | 4489 | 300763 | 8.1853523 | 4061548 |
No. | Square. | Cube. | Sq. Root. | CubeRoot. |
68 | 4624 | 314432 | 8.2462113 | 4.081655 |
69 | 4761 | 328509 | 8.3066239 | 4 101566 |
70 | 4900 | 343000 | 8.3666003 | 4.121285 |
71 | 5041 | 357911 | 8.4261498 | 4.140818 |
72 | 5184 | 373248 | 8.4852814 | 4.160168 |
73 | 5329 | 389317 | 8.5440037 | 4.179339 |
74 | 5476 | 405224 | 8.6023253 | 4.193336 |
75 | 5625 | 421875 | 8.6602540 | 4 217163 |
76 | 5776 | 433976 | 8.7177979 | 4 235324 |
77 | 5929 | 456533 | 8.7749644 | 4.254321 |
78 | 6084 | 474552 | 8.8317609 | 4.272659 |
79 | 6241 | 493039 | 8.8881944 | 4.290840 |
83 | 6403 | 512000 | 8.9442719 | 4.308869 |
81 | 6561 | 531441 | 9.0000000 | 4.326749 |
82 | 6724 | 551368 | 9.0553851 | 4.344481 |
83 | 6889 | 571787 | 9.1104336 | 4.362071 |
84 | 7056 | 592704 | 9.1651514 | 4.379519 |
85 | 7225 | 614125 | 9.2195445 | 4.396830 |
86 | 7396 | 636056 | 9.2736185 | 4.414005 |
87 | 7569 | 653503 | 9.3273791 | 4.431048 |
88 | 7744 | 681472 | 9.3808315 | 4.447960 |
89 | 7921 | 704969 | 9.4339811 | 4.464745 |
90 | 8100 | 729300 | 9.4368330 | 4.481405 |
91 | 8281 | 753571 | 9.5393929 | 4.497941 |
92 | 8164 | 778688 | 9.5916630 | 4.514357 |
93 | 8649 | 804357 | 9 6436508 | 4.530655 |
94 | 8836 | 830584 | 9.6953597 | 4.516836 |
95 | 9025 | 857375 | 9.7467943 | 4.560903 |
96 | 9216 | 884736 | 9.7979590 | 4.578857 |
97 | 9409 | 912673 | 9.8483578 | 4.591701 |
98 | 9604 | 941192 | 9.8994949 | 4.610436 |
99 | 9301 | 970299 | 9.9498744 | 4.626065 |
100 | 10000 | 1000000 | 10.0000000 | 4 641589 |
101 | 10201 | 1030301 | 10.0498756 | 4.657009 |
102 | 10404 | 1061208 | 100995049 | 4.672329 |
103 | 10609 | 1092727 | 10.1488916 | 4.687548 |
104 | 10816 | 1124864 | 10.1980390 | 4.702669 |
105 | 11025 | 1157625 | 10.2469508 | 4.717694 |
106 | 11236 | 1191016 | 10.2956301 | 4.732623 |
107 | 11449 | 1225043 | 10.3440804 | 4.747459 |
108 | 11664 | 1259712 | 10.3923348 | 4.762203 |
109 | 11831 | 1295029 | 10.4403365 | 4.776356 |
110 | 12100 | 1331000 | 10.4880885 | 4.791420 |
111 | 12321 | 1367631 | 10.5356533 | 4.805895 |
112 | 12544 | 1404928 | 10.5330052 | 4.820284 |
113 | 12769 | 1442897 | 10.6301458 | 4.334588 |
114 | 12996 | 1481544 | 10.6770783 | 4.348808 |
115 | 13225 | 1520875 | 10.7238053 | 4.862944 |
116 | 13456 | 1560896 | 10.7703236 | 4.876999 |
117 | 13689 | 1601613 | 10.8168538 | 4.890973 |
118 | 13924 | 1643032 | 10.8627805 | 4.904868 |
119 | 14161 | 1685159 | 10.9087121 | 4.913685 |
120 | 14400 | 1728000 | 10.9541512 | 4932424 |
121 | 14641 | 1771561 | ll.0000000 | 4.946087 |
122 | 14884 | 1815848 | 11.0453610 | 4.959676 |
123 | 15129 | 1860867 | 11.0905365 | 4.973190 |
124 | 15376 | 1906624 | 11.1355287 | 4.986631 |
125 | 15625 | 1953125 | 11.1803399 | 5.000000 |
126 | 15876 | 2000376 | 11.2249722 | 5.013298 |
127 | 16129 | 2048383 | 11.2694277 | 5.026526 |
128 | 16384 | 2097152 | 11.3137085 | 5 039684 |
129 | 16641 | 2146689 | 11.357378167 | 5.052774 |
130 | 16900 | 2197000 | 11.4017543 | 5 065797 |
131 | 17161 | 2248091 | 11.4455231 | 5.078753 |
132 | 17424 | 2299963 | 11.4891253 | 5.091643 |
133 | 17689 | 2352637 | 11.5325626 | 5.104469 |
134 | 17956 | 2406104 | 11.5758369 | 5.117230 |
No. | Square. | Cube. | Sq. Root. | CubeRoot. |
135 | 18225 | 2460375 | 11.6189500 | 5.129928 |
136 | 18496 | 2515456 | 11.6619038 | 5.142563 |
137 | 18769 | 2571353 | 11.7046999 | 5.155137 |
138 | 19044 | 2628072 | 11.7473101 | 5.167649 |
139 | 19321 | 2685619 | 11.7898261 | 5.180101 |
140 | 19600 | 2744000 | 11.8321596 | 5.192494 |
141 | 19881 | 2803221 | 11.8743422 | 5.204828 |
142 | 20164 | 2863283 | 11.9163753 | 5.217103 |
143 | 20449 | 2924207 | ll.9582607 | 5.229321 |
144 | 20736 | 2985984 | 12.0000000 | 5.241483 |
145 | 21025 | 3048625 | 12.0415946 | 5.253588 |
146 | 21316 | 3112136 | 12.0830460 | 5.265637 |
147 | 21609 | 3176523 | 12.1243557 | 5.277632 |
148 | 21904 | 3241792 | 12.1655251 | 5.289572 |
149 | 22201 | 3307949 | 12.2065556 | 5.301459 |
150 | 22500 | 3375000 | 12.2174487 | 5.313293 |
151 | 22801 | 3442951 | 12.2882057 | 5.325074 |
152 | 23104 | 3511808 | 12.3288280 | 5.336803 |
153 | 23409 | 3531577 | 12.3693169 | 5.348481 |
154 | 23716 | 3652264 | 12.4096736 | 5.360108 |
155 | 24025 | 3723375 | 12.4498996 | 5.371685 |
156 | 21336 | 3796416 | 12.4899960 | 5.333213 |
157 | 24649 | 3869893 | 12.5299641 | 5.394691 |
158 | 24964 | 3941312 | 12.5698051 | 5.406120 |
159 | 25281 | 4019679 | 12.6095202 | 5.417501 |
160 | 25600 | 4096000 | 12.6191106 | 5.428835 |
161 | 25921 | 4173281 | 12.6885775 | 5.440122 |
162 | 26214 | 4251528 | 12.7279221 | 5.451362 |
163 | 26569 | 4330747 | 12.7671453 | 5.462556 |
164 | 26896 | 4410944 | 12.8062485 | 5.473704 |
165 | 27225 | 4492125 | 12.8452326 | 5.484807 |
166 | 27556 | 4574296 | 12.8840987 | 5.495865 |
167 | 27889 | 4657463 | 12.9228480 | 5.506878 |
168 | 28224 | 4741632 | 12.9614814 | 5.517848 |
169 | 28561 | 4826809 | 13 0000000 | 5.528775 |
170 | 28900 | 4913000 | 13.0384048 | 5.539658 |
171 | 29241 | 5000211 | 13.0766968 | 5.550499 |
172 | 29584 | 5088448 | 13.1148770 | 5.561298 |
173 | 29929 | 5177717 | 13.1529464 | 5.572055 |
174 | 30276 | 5268024 | 13.1909060 | 5.532770 |
175 | 30625 | 5359375 | 13.2287565 | 5.593145 |
176 | 30976 | 5151776 | 13.2664992 | 5.604079 |
177 | 31329 | 5515233 | 13.3041317 | 5.614672 |
178 | 31684 | 5639752 | 13.3416641 | 5.625226 |
179 | 32041 | 5735339 | 13.3790882 | 5.635741 |
180 | 32400 | 5832000 | 13.4164079 | 5.646216 |
181 | 32761 | 5929741 | 13.4536240 | 5.656653 |
182 | 38124 | 6028568 | 13.4907376 | 5.667051 |
183 | 33489 | 6128487 | 13.5277493 | 5.677411 |
181 | 33836 | 6229504 | 13.5646600 | 5.687734 |
185 | 34225 | 6331625 | 13.6014705 | 5.698019 |
186 | 34596 | 6434856 | 13.6381817 | 5.703267 |
187 | 34969 | 6539203 | 13.6747943 | 5.718179 |
183 | 35344 | 6644672 | 13.7113092 | 5.728654 |
189 | 35721 | 6751269 | 13.7477271 | 5.738794 |
190 | 36100 | 6859000 | 13.7840488 | 5.748397 |
191 | 36481 | 6967871 | 13.8202750 | 5.758965 |
192 | 36864 | 7077888 | 13.8564065 | 5.768998 |
193 | 37249 | 7189057 | 13.8924440 | 5.778996 |
191 | 37636 | 7301384 | 13.9283383 | 5.788960 |
195 | 38025 | 7414875 | 13.9642400 | 5.798890 |
196 | 38416 | 7529536 | 14.0000000 | 5.808786 |
197 | 38809 | 7615373 | 14.0356688 | 5.818648 |
198 | 39204 | 7762392 | 14.0712473 | 5.828477 |
199 | 39601 | 7880599 | 14.1067360 | 5.838272 |
200 | 10000 | 8000000 | 14.1421356 | 5.848035 |
201 | 40401 | 8120601 | 14.1774469 | 5.857766 |
No. | Square. | Cube. | Sq. Root. | CubeRoot |
202 | 40804 | 8242408 | 14.2126704 | 5.867164 |
203 | 41209 | 8365427 | 14.2478068 | 5.877131 |
204 | 41616 | 8489664 | 14.2328569 | 5.886765 |
205 | 42025 | 8615123 | 14.3178211 | 5.896368 |
206 | 42436 | 8741816 | 14.3527001 | 5.905941 |
207 | 42849 | 8869743 | 14.3874946 | 5.915482 |
208 | 43264 | 8998912 | 14.4222051 | 5.924992 |
209 | 43681 | 9129329 | 14.4568323 | 5.931473 |
210 | 44100 | 9261000 | 14.4913767 | 5 943922 |
211 | 44521 | 9393931 | 14.5258390 | 5.953342 |
212 | 44944 | 9528128 | 14.5602198 | 5.962732 |
213 | 45369 | 9663597 | 14.5945195 | 5.972093 |
214 | 45796 | 9800344 | 14.6287388 | 5.931421 |
215 | 46225 | 9938375 | 14.6624783 | 5.990726 |
216 | 46656 | 10077696 | 14.6969385 | 6.000000 |
217 | 47089 | 10218313 | 14.7309199 | 6009245 |
218 | 47524 | 10360232 | 14.7648231 | 6.018462 |
219 | 47961 | 10503459 | 14.7986486 | 6.027650 |
220 | 48400 | 10648000 | 14.8323970 | 6.036811 |
221 | 48841 | 10793861 | 14.8660687 | 6.045943 |
222 | 49284 | 10941048 | 14.8996644 | 6.055049 |
223 | 49729 | 11039567 | 14.9331815 | 6.064127 |
224 | 50176 | 11239424 | 14.9666295 | 6.073178 |
225 | 50625 | 11390625 | 15.0000000 | 6.082202 |
226 | 51076 | 11543176 | 15.0332964 | 0.091199 |
227 | 51529 | 11697083 | 15.0665192 | 6.100170 |
228 | 51984 | 1185235.2 | 15.0996689 | 6.109115 |
229 | 52441 | 12008939 | 15.1327460 | 6.118033 |
230 | 52900 | 12167000 | 15.1657509 | 6.126926 |
231 | 53361 | 12326391 | 15.1986842 | 6.135792 |
232 | 53824 | 12487168 | 15.2315462 | 6.144634 |
233 | 54289 | 12619337 | 15.2643375 | 6.153449 |
234 | 54756 | 12812904 | 15.2970585 | 6.162240 |
235 | 55225 | 12977875 | 15.3297097 | 6.171006 |
236 | 55696 | 13144256 | 15 3622915 | 6.179747 |
237 | 56169 | 13312053 | 15.3943043 | 6.183463 |
233 | 56644 | 13181272 | 15.4272486 | 6.197154 |
239 | 57121 | 13651919 | 15.4596248 | 6.205822 |
240 | 57600 | 13324000 | 15.4919334 | 6.214465 |
241 | 58081 | 13977521 | 15.5211717 | 6.223084 |
242 | 58564 | 14172488 | 15.5563192 | 6.231680 |
243 | 59049 | 14348907 | 15.5884573 | 6.240251 |
244 | 59536 | 14526784 | 15.6204994 | 6.248800 |
245 | 60025 | 14706125 | 15.6524758 | 6.257325 |
246 | 60516 | 14886936 | 15.6343371 | 6.265827 |
247 | 61009 | 15059223 | 15.7162335 | 6.274305 |
248 | 61504 | 15252992 | 15.7480157 | 6.282701 |
249 | 62001 | 15438249 | 15.7797333 | 6.291195 |
250 | 62500 | 15625000 | 15.8113883 | 6.299605 |
251 | 63001 | 15813251 | 15.8429795 | 6.307994 |
252 | 63504 | 16003008 | 15.8745079 | 6.316360 |
253 | 64009 | 16191277 | 15.9059737 | 6.321701 |
254 | 64516 | 16387061 | 15.9373775 | 6.333026 |
255 | 65025 | 16581375 | 15.9687194 | 6.311326 |
256 | 65536 | 16777216 | 16.0000000 | 6.349604 |
257 | 65049 | 16974593 | 16.0312195 | 6.357861 |
253 | 66564 | 17173512 | 16.0623731 | 6.366097 |
259 | 67081 | 17373979 | 16.0934769 | 6.374311 |
260 | 67600 | 17576000 | 16.1215155 | 6.382504 |
261 | 68121 | 17779581 | 16.1554944 | 6.390676 |
262 | 63644 | 17981723 | 16.1861141 | 6.398828 |
263 | 69169 | 18191447 | 16.2172747 | 6.406958 |
264 | 69696 | 18399744 | 16.2180768 | 6.415969 |
265 | 70225 | 18609625 | 16.2788206 | 6.423158 |
265 | 70756 | 18821096 | 16.3095064 | 6.431228. |
267 | 71289 | 19034163 | 163.101316 | 6.439277 |
268 | 71824 | 19248832 | 16.3707055 | 6.447306 |
No | Square. | Cube. | Sq. Root. | CubeRoot. |
269 | 72361 | 19465109 | 16.4012195 | 6.455315 |
270 | 72900 | 19683000 | 164316767 | 6.463304 |
271 | 73441 | 19902511 | 16.4620776 | 6.471274 |
272 | 73984 | 20123648 | 16.4924225 | 6.479224 |
273 | 74529 | 20346417 | 16.5227116 | 6.487154 |
274 | 75076 | 20570824 | 16.5529454 | 6.495065 |
275 | 75625 | 20796875 | 16.5331240 | 6.502957 |
276 | 76176 | 21024576 | 16.6132477 | 6.510830 |
277 | 76729 | 21253933 | 16.6433170 | 6.518684 |
278 | 77234 | 21484952 | 16.6733320 | 6.526519 |
279 | 77811 | 21717639 | 16.7032931 | 6534335 |
290 | 78400 | 21952000 | 16.7332005 | 6.542133 |
281 | 78961 | 22188041 | 16.7630546 | 6.549912 |
282 | 79524 | 22425768 | 16.7923556 | 6.557672 |
233 | 80089 | 22665187 | 16.8226033 | 6 565414 |
284 | 80656 | 22906304 | 16.8522995 | 6.573139 |
235 | 81225 | 23149125 | 16.8819430 | 6.530844 |
286 | 81796 | 23393656 | 16.9115345 | 6538532 |
287 | 82369 | 23639903 | 16.9410743 | 6.596202 |
283 | 82944 | 23387872 | 16.9705627 | 6.603854 |
239 | 83521 | 24137569 | 17.0000000 | 6.611489 |
290 | 84100 | 24389000 | 17.0293864 | 6.619106 |
291 | 84681 | 24642171 | 170537221 | 6.626705 |
292 | 85264 | 24897088 | 17.0880075 | 6.634237 |
293 | 85849 | 25153757 | 17.1172428 | 6.641852 |
294 | 86136 | 25412184 | 171464232 | 6.649400 |
295 | 87025 | 25672375 | 171755640 | 6.656930 |
296 | 87616 | 25934336 | 17.2046505 | 6.664444 |
297 | 88209 | 26198073 | 17.2336879 | 6.671940 |
298 | 88804 | 26463592 | 17.2626765 | 6.679420 |
299 | 89401 | 26730899 | 17.2916165 | 6.686883 |
300 | 90000 | 27000000 | 17.3205081 | 6.694329 |
301 | 90601 | 27270901 | 17.3493516 | 6.701759 |
302 | 91204 | 27543603 | 17.3781472 | 6.709173 |
303 | 91809 | 27818127 | 17.4068952 | 6.716570 |
304 | 92416 | 28094464 | 17.4355958 | 6.723951 |
305 | 93025 | 28372625 | 17.4642492 | 6.731316 |
306 | 93636 | 23652616 | 17.4928557 | 6.738664 |
307 | 94249 | 28934443 | 175214155 | 6.745997 |
308 | 94864 | 29218112 | 17.5499288 | 6.753313 |
309 | 95481 | 29503629 | 17.5783958 | 6.760614 |
310 | 96100 | 29791000 | 17.6068169 | 6.767899 |
311 | 96721 | 30080231 | 17.6351921 | 6.775169 |
312 | 97344 | 30371328 | 17.6635217 | 6.782423 |
313 | 97969 | 33664297 | 17.6918060 | 6.789661 |
311 | 98596 | 30959144 | 17.7200451 | 6.796884 |
315 | 99225 | 31255875 | 17.7482393 | 6.804092 |
316 | 99856 | 31554496 | | 17.7763888 | 6.811285 |
317 | 100489 | 31855013 | 17.8044938 | 6.818462 |
318 | 101124 | 32157432 | 17.8325545 | 6.825624 |
3l9 | 101761 | 32461759 | 17.8605711 | 6.832771 |
320 | 102400 | 32768000 | 17.8835433 | 6.839904 |
321 | 103041 | 33076161 | 17.9164729 | 6.847021 |
322 | 103684 | 33386248 | 179443534 | 6 854124 |
323 | 104329 | 33698267 | 17.9722008 | 6.861212 |
324 | 104976 | 34012224 | 18.0000000 | 6.868285 |
325 | 105625 | 34328125 | 18.0277564 | 6.875344 |
326 | 106276 | 34645976 | 18.0554701 | 6.882339 |
327 | 106929 | 34965783 | 180831413 | 6.889419 |
328 | 107584 | 35287552 | 18.1107703 | 6.896435 |
329 | 108241 | 35611289 | 18.1383571 | 6903436 |
330 | 108900 | 35937000 | 18.1659021 | 6.910423 |
331 | 109561 | 36264691 | 18.1934054 | 6.917396 |
332 | 110224 | 36594368 | 18.2208672 | 6.924356 |
332 | 110889 | 36926037 | 18.2482876 | 6.931301 |
331 | 111556 | 37259704 | 18.2756669 | 6.938232 |
333 | 112225 | 37595375 | 18.3030052 | 6.945150 |
No. | Square. | Cube. | Sq Root. | CubeRoot. |
336 | 112896 | 37933056 | 18.3303028 | 6.952053 |
337 | 113569 | 38272753 | 18.3575598 | 6.958943 |
333 | 114244 | 38614472 | 18.3847763 | 6.965820 |
339 | 114921 | 38908219 | 18.4119526 | 6.972683 |
340 | 115600 | 39304000 | 18.4390889 | 6.979532 |
341 | 116281 | 39651821 | 18 4661853 | 6.986368 |
342 | 116964 | 40001638 | 18.4932420 | 6.993191 |
343 | 117649 | 40353607 | 18.5202592 | 7.000000 |
344 | 118336 | 40707584 | 18.5472370 | 7.006796 |
345 | 119025 | 41063625 | 18.5741756 | 7.013579 |
346 | 119716 | 41421736 | 18.6010752 | 7.020349 |
347 | 120409 | 41781923 | 18.6279360 | 7.027106 |
343 | 121104 | 42144192 | 18.6547581 | 7.033850 |
349 | 121801 | 42508549 | 18.6815417 | 7.040581 |
350 | 122500 | 42875300 | 18.7082869 | 7.047299 |
351 | 123201 | 43243551 | 18.7349940 | 7.054004 |
352 | 123904 | 43614208 | 18.7616630 | 7.060697 |
353 | 124609 | 43985977 | 18.7882942 | 7.067377 |
354 | 125316 | 44361864 | 18.8148877 | 7.074044 |
355 | 126025 | 44738875 | 18.8414437 | 7.080699 |
356 | 126736 | 45118016 | 18.8679623 | 7.087341 |
357 | 127449 | 45499293 | 18.8944436 | 7093971 |
358 | 128164 | 45882712 | 18.9208879 | 7.100588 |
359 | 128881 | 46268279 | 18.9472953 | 7107194 |
360 | 129600 | 46656000 | 18.9736660 | 7.113787 |
361 | 130321 | 47045381 | 19.0000000 | 7.120367 |
352 | 131044 | 47437928 | 19.0262976 | 7.126936 |
363 | 131769 | 47832147 | 19.0525589 | 7.133492 |
364 | 132496 | 48228544 | 19.0787840 | 7.140037 |
365 | 133225 | 48627125 | 19.1049732 | 7.146569 |
366 | 133956 | 49027396 | 19.1311265 | 7.153090 |
367 | 134689 | 49430863 | 19.1572441 | 7.159599 |
368 | 135424 | 49835032 | 19.1833261 | 7.166096 |
369 | 136161 | 59243409 | 19.2093727 | 7.172581 |
370 | 136900 | 50653300 | 19.2353841 | 7.179054 |
371 | 137641 | 51064811 | 19.2613603 | 7185516 |
372 | 138384 | 51478848 | 19.2873015 | 7.191966 |
373 | 139129 | 51895117 | 19.3132079 | 7.198405 |
374 | 139876 | 52313624 | 19.3390796 | 7.204832 |
375 | 140625 | 52734375 | 19.3649167 | 7.211248 |
376 | 141376 | 53157376 | 19.3907194 | 7.217652 |
377 | 142129 | 53582633 | 19.4164878 | 7.224045 |
378 | 142884 | 54010152 | 19.4422221 | 7.233427 |
379 | 143641 | 54439939 | 19.4679223 | 7.236797 |
380 | 144400 | 54872000 | 19.4935887 | 7.243156 |
381 | 145161 | 55306341 | 195192213 | 7.249504 |
382 | 145924 | 55742968 | 19.5448203 | 7.255841 |
383 | 146689 | 56181887 | 19.5703858 | 7.262167 |
384 | 147456 | 56623104 | 19.5959179 | 7.268482 |
385 | 148225 | 57066625 | 19.6214169 | 7.274786 |
386 | 148996 | 57512456 | 19.6468327 | 7.231079 |
387 | 149769 | 57960603 | 19.6723156 | 7.287362 |
388 | 150544 | 58411072 | 19.6977156 | 7.293633 |
389 | 151321 | 53863869 | 19.7230829 | 7.299894 |
390 | 152100 | 59319000 | 19.7484177 | 7.306144 |
391 | 152881 | 59776471 | 19.7737199 | 7.312383 |
392 | 153664 | 60236288 | 19.7989899 | 7.318611 |
393 | 154449 | 60693457 | 19.8242276 | 7.324829 |
394 | 155236 | 61162984 | 19.8494332 | 7.331037 |
395 | 156025 | 61629875 | 19.8746069 | 7.337234 |
396 | 156816 | 62099136 | 19.8997487 | 7.343420 |
397 | 157609 | 62570773 | 19.9248538 | 7.349597 |
398 | 158404 | 63044792 | 19.9499373 | 7.355762 |
339 | 159201 | 63521199 | 19.9749844 | 7.361918 |
400 | 160000 | 64000000 | 20.0000000 | 7.363063 |
401 | 160801 | 64481201 | 20.0249344 | 7.374198 |
402 | 161604 | 64964808 | 20.0499377 | 7.330323 |
No. | Square. | Cube. | Sq. Root | CubeRoot. |
403 | 162409 | 65450827 | 200748599 | 7.336437 |
404 | 163216 | 65939264 | 200997512 | 7.392542 |
405 | 164025 | 66430125 | 201246118 | 7.398636 |
406 | 164836 | 66923416 | 20.1494417 | 7.404721 |
407 | 165849 | 67419143 | 20.1742410 | 7.410795 |
408 | 166464 | 67917312 | 20.1990099 | 7.416859 |
409 | 167281 | 68417929 | 20.2237484 | 7.422914 |
410 | 168100 | 68921000 | 20.2484567 | 7.428959 |
411 | 168921 | 69426431 | 20.2731349 | 7434994 |
412 | 169744 | 69934423 | 20.2977831 | 7.441019 |
413 | 170569 | 70444997 | 20.3224014 | 7.447034 |
414 | 171396 | 70957944 | 20.3469899 | 7.453040 |
415 | 172225 | 71473375 | 20.3715488 | 7.459035 |
410 | 173056 | 71991296 | 20.3960781 | 7.465022 |
417 | 173889 | 72511713 | 20.4205779 | 7.470999 |
418 | 174724 | 73034632 | 20.4450483 | 7.476966 |
419 | 175561 | 73560059 | 20.4694895 | 7.482924 |
420 | 176400 | 74088000 | 20.4939015 | 7.488872 |
421 | 177241 | 74618461 | 20.5182845 | 7.494811 |
422 | 178084 | 75151448 | 20.5426386 | 7.500741 |
423 | 178929 | 75686967 | 20.5669638 | 7.506661 |
424 | 179776 | 76225024 | 20.5912603 | 7.512571 |
425 | 180625 | 76765625 | 20.6155281 | 7.518473 |
426 | 181476 | 77308776 | 20.6397674 | 7.524365 |
427 | 182329 | 77854483 | 20.6639783 | 7.530248 |
428 | 183184 | 78402752 | 20.6881609 | 7.535122 |
429 | 184041 | 78953589 | 20.7123152 | 7.541987 |
430 | 184900 | 79507000 | 20.7364414 | 7.547842 |
431 | 185761 | 80062991 | 20.7605395 | 7.553689 |
432 | 186624 | 80621568 | 20.7846097 | 7.559526 |
433 | 187489 | 81182737 | 20.8086520 | 7.565355 |
434 | 188356 | 81746504 | 20.8326667 | 7.571174 |
435 | 189225 | 82312875 | 20.8566536 | 7.576985 |
436 | 190096 | 82881856 | 20.8806130 | 7.582786 |
437 | 190969 | 83453453 | 20.9045450 | 7.588579 |
438 | 191844 | 84027672 | 20.9284495 | 7.594363 |
439 | 192721 | 84604519 | 20.9523268 | 7.600138 |
440 | 193600 | 85184000 | 20.9761770 | 7.605905 |
441 | 194481 | 85766121 | 21.0000000 | 7.611663 |
442 | 195364 | 86350888 | 21.0237960 | 7.617412 |
443 | 196219 | 86938307 | 21.0475652 | 7.623152 |
444 | 197136 | 87528384 | 21.0713075 | 7.628884 |
445 | 198025 | 88121125 | 21.0950231 | 7.634607 |
446 | 198916 | 88716536 | 21.1187121 | 7.610321 |
447 | 199809 | 89314623 | 21.1423745 | 7.646027 |
448 | 200704 | 89915392 | 21.1660105 | 7.661725 |
449 | 201601 | 90518849 | 21.1896201 | 7.657414 |
450 | 202500 | 91125000 | 21.2132034 | 7.663094 |
451 | 203401 | 91733851 | 21.2367606 | 7.668766 |
452 | 204304 | 92345408 | 21.2602916 | 7.674430 |
453 | 205209 | 92959677 | 21.2837967 | 7.680086 |
454 | 206116 | 93576664 | 21.3072758 | 7.685733 |
455 | 207025 | 94196375 | 21.3307290 | 7691372 |
456 | 207936 | 94818816 | 21.3541565 | 7.697002 |
457 | 208849 | 95443993 | 21.3775583 | 7.702625 |
458 | 209764 | 96071912 | 21.4009346 | 7.708239 |
459 | 210681 | 96702579 | 21.4242853 | 7.713845 |
460 | 211600 | 97336000 | 21.4476106 | 7.719113 |
461 | 212521 | 97972181 | 21.4709106 | 7.725032 |
462 | 213414 | 98511128 | 21.4941853 | 7.730614 |
463 | 214369 | 99252847 | 21.5174318 | 7.736188 |
464 | 215296 | 99897344 | 21.5406592 | 7.741753 |
465 | 216225 | 100511625 | 21.56385871 | 7.747311 |
466 | 217156 | 101194696 | 21.5870331 | 7.752861 |
467 | 218089 | 101847563 | 31.6101828 | 7.758402 |
468 | 219024 | 102503232 | 21.6333077 | 7.763936 |
469 | 219961 | 103161709 | 21.6564078 | 7.769162 |
No. | Square. | Cube. | Sq. Root. | CubeRoot. |
470 | 220900 | 103823000 | 21.6794834 | 7.774980 |
471 | 221841 | 104487111 | 21.7025344 | 7.780190 |
472 | 222784 | 105154048 | 21.7255610 | 7.785993 |
473 | 223729 | 105823817 | 21.7485632 | 7.791487 |
474 | 224676 | 106496424 | 21.7715411 | 7.796974 |
475 | 225625 | 107171875 | 21.7944947 | 7.802454 |
476 | 226576 | 107850176 | 21.8174242 | 7.807925 |
477 | 227529 | 108531333 | 21.8403297 | 7.813389 |
478 | 223484 | 109215352 | 21.8632111 | 7.818846 |
479 | 229441 | 109902239 | 21.8860686 | 7.824294 |
430 | 230400 | 110592000 | 21.9089023 | 7.829735 |
431 | 231361 | 111284641 | 21.9317122 | 7.835169 |
482 | 232324 | 111930163 | 21.9544934 | 7.840595 |
483 | 233289 | 112678537 | 21.9772610 | 7846013 |
434 | 234256 | 113379904 | 22.0000000 | 7.851424 |
485 | 235225 | 114084125 | 22.0227155 | 7.856828 |
486 | 236196 | 114791256 | 22.0454077 | 7.862224 |
487 | 237169 | 115501303 | 22.0680765 | 7.867613 |
488 | 238144 | 116214272 | 22.0907220 | 7.872994 |
439 | 239121 | 116930169 | 22.1133444 | 7.878368 |
490 | 240100 | 117649000 | 22.1359436 | 7.883735 |
491 | 241031 | 118370771 | 22.1585198 | 7.889095 |
492 | 212064 | 119095488 | 22.1810739 | 7.894447 |
493 | 213049 | 119823157 | 22.2636033 | 7.899792 |
494 | 244036 | 120553784 | 22.2251108 | 7.905129 |
495 | 245025 | 121287375 | 22.2485955 | 7.910460 |
496 | 246016 | 122023936 | 22.2710575 | 7.915783 |
497 | 247009 | 122763473 | 22.2934968 | 7.921099 |
498 | 248004 | 123595992 | 22.3459135 | 7.926403 |
499 | 249001 | 124251499 | 22.3383079 | 7.931710 |
500 | 250000 | 125000000 | 22.360o798 | 7.937005 |
501 | 251001 | 125751501 | 22.3330293 | 7.942293 |
502 | 252004 | 126506008 | 22.4053565 | 7.947574 |
503 | 253009 | 127263527 | 22.4276615 | 7.952848 |
504 | 254016 | 128024061 | 22.4499443 | 7.958114 |
505 | 255025 | 128787625 | 22.4722051 | 7.963374 |
506 | 256036 | 129554216 | 22.4944438 | 7.968627 |
507 | 257049 | 130323343 | 22 5166605 | 7.973873 |
508 | 258064 | 131096512 | 22.5388553 | 7.979112 |
509 | 259081 | 131872229 | 22.5510283 | 7.984344 |
510 | 260100 | 132651000 | 22.5331796 | 7.989570 |
511 | 261121 | 133432831 | 22.6053091 | 7.994788 |
512 | 262144 | 134217723 | 22.6274170 | 8.000000 |
513 | 263169 | 135005697 | 22.6495933 | 8.0052000 |
514 | 264196 | 135796744 | 22.6715581 | 8.010403 |
515 | 265225 | 136590875 | 22.6936114 | 8.015595 |
516 | 266256 | 137388096 | 22.7156334' | 8.020779 |
517 | 267289 | 138188413 | 22.7376340 | 8.025957 |
518 | 268324 | 138991832 | 22.7596134 | 8.031129 |
519 | 269351 | 139798359 | 22.7815715 | 8.036293 |
520 | 270400 | 140608000 | 22.8035085 | 8.041451 |
521 | 271441 | 141420761 | 22.8254244 | 8.046603 |
522 | 272484 | 142236618 | 22.8473193 | 8.051748 |
523 | 273529 | 143055667 | 22.8691933 | 8.056886 |
524 | 274576 | 113877824 | 22.8910463 | 8.062018 |
525 | 275625 | 144703125 | 22.9128785 | 8.067143 |
526 | 276676 | 145531576 | 22.9346899 | 8.072262 |
527 | 277729 | 146363183 | 22.9554896 | 8.077374 |
528 | 278784 | 147197952 | 22.9782506 | 8.082480 |
529 | 279841 | 148035889 | 23.0000000 | 8.087579 |
530 | 280900 | 148877000 | 23.0217289 | 8.092672 |
531 | 281961 | 149721291 | 23.0434372 | 8.097759 |
532 | 283024 | 150558763 | 23.0651252 | 8.102839 |
533 | 284089 | 151419437 | 23.0867928 | 8.107913 |
531 | 285156 | 152273304 | 23.1084400 | 8.112980 |
535 | 286225 | 153130375 | 23.1300670 | 8118041 |
536 | 287206 | 153990656 | 23.1516738 | 8.123090. |
No. | Square. | Cube. | Sq. Root. | CubeRoot. |
537 | 233369 | 154854153 | 23.1732605 | 8.123145 |
533 | 239444 | 155720872 | 23.1948270 | 8.133187 |
539 | 290521 | 156590819; | 23.2163735 | 8133223 |
540 | 291600 | 157464030; | 23.2379001 | 8.143253 |
541 | 292681 | 158340421 | 23.2594067 | 8.148276 |
542 | 293764 | 159220088 | 23.2808935 | 8153294 |
543 | 294849 | 160103007 | 23.3023604 | 8.158305 |
544 | 295936 | 160939184' | 23.3233076 | 8163310 |
545 | 297025 | 161878625 | 23.3452351 | 8.168309 |
546 | 298116 | 162771336 | 23.3665429 | 8.173302 |
547 | 299209 | 163667323 | 23.3880311 | 8.178239 |
548 | 300304 | 164566592 | 23.4093998 | 8.183269 |
549 | 301401 | 165469149 | 23.4307490 | 8.188244 |
550 | 302500 | 166375000 | 23.4520788 | 8.193213 |
551 | 303601 | 167284151 | 23.4733392 | 8.198175 |
552 | 334704 | 168196608 | 23.4946802 | 8.203132 |
553 | 3055809 | 169112377 | 23.5159520 | 8.203082 |
554 | 306916 | 170031464 | 23.5372046 | 8.213027 |
555 | 308025 | 170953375 | 23.5534333 | 8.217966 |
556 | 309136 | 171879616 | 23.5796522 | 8.222898 |
557 | 310249 | 172308693 | 236003474 | 8.227825 |
558 | 311364 | 173741112 | 236220236 | 8.232746 |
559 | 312431 | 174676879 | 23.6431808 | 8.237661 |
560 | 313600 | 175616000 | 23.6 543191 | 8.242571 |
561 | 314721 | 176558481 | 23.6854386 | 8.247474 |
562 | 315344 | 177034328 | 237065392 | 8.252371 |
563 | 316969 | 178453547 | 23.7276210 | 8.257263 |
564 | 318096 | 179406144 | 23.7486342 | 8.262149 |
565 | 319225 | 180362125 | 23.7697285 | 8.267029 |
566 | 320356 | 181321496 | 23.7907515! | 8.271904 |
567 | 321489 | 182284263 | 23.8117618 | 8.276773 |
568 | 322624 | 183250432 | 23.8327506 | 8.281635 |
569 | 323761 | 184220009 | 23.8537209 | 8.236493 |
570 | 324900 | 185193000 | 23.8746728! | 8.291344 |
571 | 326041 | 186169411 | 23.8956063 | 8.296190 |
572 | 327184 | 187149248 | 23.9165215 | 8.331030 |
573 | 328329 | 183132517 | 23.9374184, | 8.335865 |
574 | 329476 | 189119224 | 23.9582971 | 8.310694 |
575 | 330625 | 190109375 | 23.9791576 | 8.315517 |
576 | 331776 | 191102976 | 24.0000000 | 8.320335 |
577 | 332929 | 192103033 | 24.0208243 | 8.325147! |
578 | 334034 | 193100552 | 24.0416306 | 8.329954 |
579 | 335241 | 194104539 | 24.0624183 | 8.334755 |
580 | 336400 | 195112000 | 24.0331891 | 8.339551 |
581 | 337561 | 196122941 | 24.1039416 | 8.344341 |
532 | 338724 | 197137368 | 24.1246762 | 8.349126 |
583 | 339889 | 193155287 | 24.1453929 | 8.353905 |
534 | 341056 | 199176704 | 24.1660919 | 8.353678 |
535 | 342225 | 200201625 | 24.1867732 | 8 353417 |
586 | 343395 | 201230056 | 242074359 | 8.353209 |
587 | 344569 | 202262003 | 24.2230829 | 8.372967 |
588 | 345744 | 203297472 | 24.2487113 | 8.377719 |
589 | 346921 | 204336169 | 24.2593222 | 8.332465 |
590 | 343100 | 205379000 | 24.2899156 | 8.337206 |
591 | 349281 | 206425071 | 24.3104916 | 8.391942 |
592 | 350464 | 207474688 | 24.3310501 | 8.336673 |
5931 | 351649 | 208527857 | 24.3515913 | 8.401398 |
594 | 352836 | 209584584 | 24.3721152 | 8.406118 |
595 | 354025 | 210644875 | 24.3326218 | 8.410333 |
596 | 355216 | 211708736 | 24.4131112 | 8.415542 |
597 | 356109 | 212776173 | 24.4335834 | 8.420246 |
598 | 357604 | 213847192 | 214540385 | 8.424045 |
599 | 353801 | 214921799 | 21.4744765 | 8.429633 |
600 | 360000 | 216000000 | 24.4948974 | 8.434327 |
601 | 361201 | 217081801 | 24.5153013 | 8.439010 |
602 | 362404 | 218167208 | 24.5356883 | 8.443688 |
603 | 363609 | 219256227 | 24.5560583 | 8.418360 |
No. | Square. | Cube. | Sq.Root | Cub Root. |
604 | 34816 | 220348864 | 24.5764115 | 8.453026 |
605 | 3.6025 | 221445125 | 24.5967478 | 8.457691 |
606 | 367236 | 222545016 | 24.6170673 | 8.462348 |
607 | 368449 | 223648543 | 24.6373700 | 8.467000 |
608 | 369664 | 224755712 | 24.6576560 | 8.471647 |
609 | 370881 | 225866529 | 24.6779254 | 8.476239 |
610 | 372100 | 226981000 | 24.6981781 | 8.480926 |
611 | 373321 | 228099131 | 24.7184142 | 8.485558 |
612 | 374554 | 229220928 | 24.7386338 | 8.490185 |
613 | 375769 | 230346397 | 24.7588358 | 8.494806 |
611 | 376996 | 231475544 | 24.7790234 | 8.499423 |
615 | 378225 | 232608375 | 24.7991935 | 8.504035 |
616 | 379456 | 233744896 | 24.8193473 | 8.508642 |
617 | 380689 | 234885113 | 24.8394347 | 8.513243 |
618 | 381924 | 236029032 | 24.8596058 | 8.517840 |
619 | 383161 | 237176659 | 24.8797106 | 8.522432 |
620 | 381400 | 238328000 | 24.8997992 | 8.527019 |
621 | 385641 | 239483061 | 24.9198716 | 8.531601 |
622 | 386884 | 240641848 | 24.9399278 | 8.535178 |
623 | 386129 | 241804367 | 24.9591679 | 8.540750 |
624 | 389376 | 242970624 | 24.9799920 | 8.545317 |
625 | 390625 | 244140625 | 25.0000000 | 8.549880 |
626 | 391876 | 245314376 | 25.0199923 | 8.551437 |
627 | 393129 | 246491833 | 25.0399681 | 8.558990 |
623 | 394381 | 247673152 | 25.0599282 | 8.563538 |
629 | 395641 | 248853189 | 25.0798724 | 8.568081 |
630 | 396900 | 250047000 | 25.0998008 | 8.572619 |
631 | 398161 | 251239591 | 25.1197134 | 8 577152 |
632 | 309424 | 252435968 | 25.1396102 | 8.581681 |
633 | 400689 | 253636137 | 25.1591913 | 8.586205 |
634 | 401956 | 254810104 | 25.1793566 | 8.590724 |
635 | 403225 | 256047875 | 25.1992063 | 8.595233 |
636 | 404496 | 257259456 | 25.2190404 | 8.599748 |
637 | 405769 | 258174853 | 25.2388539 | 8.604252 |
638 | 407044 | 259694072 | 25.2536619 | 8.608753 |
639 | 408321 | 260917119 | 25.2784493 | 8.613248 |
640 | 409600 | 262144000 | 25.2932213 | 8.617739 |
641 | 410881 | 263374721 | 25.3179778 | 8.622225 |
642 | 412164 | 264609288 | 25.3377189 | 8.626706 |
643 | 413419 | 265847707 | 25.3574447 | 8.631183 |
644 | 414736 | 267089984 | 25.3771551 | 8.635655 |
645 | 416025 | 268336125 | 25.3968532 | 8.640123 |
646 | 417316 | 269586136 | 25.4165301 | 8.644585 |
647 | 418509 | 270810023 | 25.4351947 | 8.649044 |
648 | 419904 | 272097792 | 25.4558441 | 8.653497 |
649 | 421201 | 273359449 | 25.4751784 | 8.657946 |
650 | 422500 | 274625000 | 25.49509776 | 8.662391 |
651 | 423801 | 275894451 | 25.5147016 | 8.666331 |
652 | 425104 | 277167808 | 25.5342907 | 8.671266 |
653 | 426409 | 278145077 | 25.5533647 | 8 675697 |
654 | 427716 | 279726264 | 25.5734237 | 8.680124 |
655 | 429025 | 281011375 | 25.5929678 | 8.684546 |
656 | 43336 | 282300416 | 25.6124969 | 8.688963 |
657 | 431649 | i 283593393 | 25.6320112 | 8693376 |
658 | 432964 | 284890312 | 25.6515107 | 8.697781 |
659 | 431281 | 286191179 | 25.6709953 | 8.702188 |
660 | 435600 | 287496000 | 25.6904652 | 8706538 |
661 | 436921 | 288804781 | 25.7099203 | 8.710983 |
662 | 438244 | 290117523 | 25.7293607 | 8715373 |
663 | 439569 | 291434247 | 25.7487854 | 8.719760 |
664 | 440896 | 292751944 | 25.7681975 | 8 721141 |
665 | 442225 | 294079625 | 25.7875939 | 8.728518 |
666 | 443556 | 295408296 | 25.8069758 | 8732392 |
667 | 444889 | 296740963 | 25.8263431 | 8737260 |
668 | 446224 | 298077632 | 25.8456960 | 8741625 |
669 | 447561 | 299418309 | 25.8650343 | 8715985 |
670 | 448900 | 300763000 | 25.8843582 | 8.753340 |
No | Square. | Cube. | Sq. Root. | CubeRoot. |
671 | 450241 | 302111711 | 25.9036677 | 8.754691 |
672 | 451584 | 303464448 | 25.9229628 | 8.759038 |
673 | 452929 | 304821217 | 25.9422435 | 8.763381 |
674 | 454276 | 306182024 | 25.9615100 | 8.767719 |
675 | 455625 | 307546875 | 25.9807621 | 8.772053 |
676 | 456976 | 308915776 | 26.0000000 | 8.776383 |
677 | 458329 | 310288733 | 26.0192237 | 8.780708 |
678 | 459684 | 311665752 | 260384331 | 8.785030 |
679 | 461041 | 313046839 | 26.0576284 | 8.789347 |
680 | 462406 | 314432600 | 26.0768096 | 8.793659 |
681 | 463761 | 315821241 | 26.0959767 | 8.797968 |
682 | 460124 | 317214568 | 26.1151297 | 8.802272 |
683 | 466489 | 318611987 | 26.1342687 | 8.806572 |
684 | 467856 | 320013504 | 26.1533937 | 8.810868 |
685 | 469225 | 321419125 | 26.1725047 | 8.815160 |
686 | 470596 | 322828856 | 26.1916017 | 8.819447 |
687 | 471969 | 324242703 | 26.2106848 | 8.823731 |
688 | 473344 | 325660672 | 26.2297541 | 8.828010 |
689 | 474721 | 327082769 | 26.2488095 | 8.832285 |
690 | 476106 | 328509660 | 26.678511 | 8.836556 |
691 | 477481 | 329939371 | 26.868789 | 8.840823 |
692 | 478861 | 331373888 | 26.3058929 | 8.845085 |
693 | 480249 | 33*2812557 | 26.3248932 | 8.84*344 |
694 | 181636 | 334255384 | 26.3438797 | 8.853598 |
695 | 483025 | 335702375 | 26.3628527 | 8.857849 |
696 | 481416 | 337153536 | 26.3818119 | 8.862095 |
697 | 485809 | 338608873 | 26.4007576 | 8.866337 |
698 | 487204 | 340068392 | 26.4196896 | 8.870576 |
699 | 488601 | 341532099 | 26.4386081 | 8.874810 |
700 | 490000 | 343000006 | 26.4575131 | 8.879040 |
701 | 491401 | 344472101 | 26.4764046 | 8.883266 |
702 | 492804 | 345948408 | 26.4952826 | 8.887488 |
703 | 494209 | 347428927 | 26.5141472 | 8.891706 |
704 | 495616 | 348913661 | 26.5329983 | 8.895920 |
705 | 497025 | 350402625 | 26.5518361 | 8.900130 |
706 | 498436 | 351895816 | 26 5766605 | 8.904337 |
707 | 499849 | 353393243 | 26.5894716 | 8.968539 |
708 | 501264 | 354894912 | 26 6082694 | 8.912737 |
709 | 502681 | 356400829 | 26.6270539 | 8.916931 |
710 | 504100 | 357911000 | 26.6458252 | 8.921121 |
711 | 505521 | 359425431 | 26.6645833 | 8.925308 |
712 | 566914 | 360944128 | 266833281 | 8.929400 |
713 | 508369 | 362467097 | 26 7026598 | 8.933669 |
714 | 509796 | 363994344 | 26.7207784 | 8.937843 |
715 | 511225 | 365525875 | 26.7394839 | 8.912014 |
716 | 512656 | 367061696 | 26.7581703 | 8.946181 |
717 | 514089 | 368601813 | 26.7768557 | 8.950344 |
718 | 515524 | 370146232 | 26.7955220 | 8.954503 |
719 | 516961 | 371694959 | 20 8141754 | 8.9586658 |
720 | 518400 | 373248000 | 20 8328157 | 8.962809 |
721 | 519841 | 374805361 | 20.8514432 | 8.966957 |
722 | 521284 | 376367048 | 208700577 | 8.971101 |
723 | 522729 | 377933067 | 20.8886593 | 8.975241 |
724 | 524176 | 379563424 | 26.9072481 | 8.979377 |
725 | 5*5625 | 381078125 | 26.9258240 | 8.983509 |
726 | 527076 | 382657176 | 26.9443872 | 8.987637 |
727 | 528529 | 384240583 | 26.9629375 | 8.991762 |
728 | 529984 | 38582835 | 26.9814751 | 8.995883 |
729 | 531411 | 387420189 | 27.00000o0 | 9.600006 |
730 | 532900 | 389017000 | 270185122 | 9.004113 |
731 | 534361 | 390617891 | 27 0370117 | 9.008223 |
732 | 535824 | 392223168 | 27.0554985 | 9.012329 |
733 | 527289 | 393832837 | 27.0739727 | 9.016131 |
734 | 530796 | 395446904 | 27.6921341 | 9.020529 |
735 | 540223 | 397065375 | 27.1108834 | 9.021621 |
736 | 541696 | 398688256 | 27 1293199 | 9.028715 |
737 | 543169 | 400315553 | 27.1477439 | 9.032802 |
No. | Square. | Cube. | Sq. Root | CubeRook |
738 | 514644 | 401947*72 | 271661554 | 9.036880 |
739 | 546121 | 403583419 | 27.1845514 | 9.040965 |
740 | 547600 | 405224600 | 27.2029410 | 9.045042 |
741 | 549081 | 406869021 | 27.2213152 | 9.049114 |
742 | 550564 | 408518488 | 27.2396769 | 9.053183 |
743 | 552049 | 410172407 | 27.2530263 | 9.057243 |
744 | 553536 | 411830784 | 27.2763634 | 9.061310 |
745 | 555025 | 413493025 | 27.2946881 | 9.065365 |
746 | 556516 | 415160936 | 27.3130006 | 9.069422 |
747 | 558009 | 4168327*3 | 27.3313007 | 9.073473 |
748 | 559504 | 418508992 | 27.3495887 | 9.077520 |
749 | 561001 | 420189749 | 27.3678644 | 9.081563 |
750 | 562500 | 421875000 | 27.3861279 | 9.085603 |
751 | 564001 | 4*3561751 | 27.4043792 | 9.089635 |
752 | 565504 | 425259008 | 27.4226184 | 9.093672 |
753 | 567009 | 426957777 | 27.4408455 | 9.097701 |
754 | 568516 | 428661064 | 274590694 | 9.101726 |
755 | 570025 | 430368875 | 27.47/2633 | 9.105748 |
756 | 571536 | 432081216 | 274*54542 | 9.109767 |
757 | 573049 | 433798093 | 27.5136330 | 9.113782 |
758 | 574564 | 43551951* | 27.5317998 | 9.117793 |
759 | 576081 | 437*45479 | 27.5199546 | 9.12801 |
700 | 577606 | 438976000 | 27.5680975 | 9.125805 |
701 | 57*121 | 440711081 | 27.5862234 | 9.129860 |
702 | 580644 | 44*4507*8 | 276043475 | 9.133803 |
703 | 582169 | 444194947 | 27 6224546 | 9.137797 |
704 | 583696 | 445913744 | 27.6405499 | 9.141787 |
705 | 585225 | 447697125 | 27.6586334 | 9.145774 |
766 | 586756 | 449455096 | 27 O7o7050 | 9.149578 |
767 | 588289 | 451217663 | 27.6947643 | 9.153737 |
768 | 589824 | 452984832 | 27.7128129 | 9.951714 |
769 | 591361 | 454756609 | 27.7308492 | 9.161681 |
770 | 592900 | 456533000 | 277488739 | 9.165656 |
771 | 594441 | 458314011 | 27.7668868 | 9.169622 |
772 | 595984 | 460099648 | 27.7848880 | 9.173585 |
773 | 597529 | 461889917 | 27.8028775 | 9.177544 |
774 | 599076 | 463084824 | 27.8208555 | 9.184500 |
775 | 600625 | 465481375 | 27.8383248 | 9.485453 |
776 | 602176 | 467888576 | 27 3567766 | 9.189402 |
777 | 603729 | 469097433 | 27.8747197 | 9.193347 |
778 | 605284 | 470910952 | 27.8926544 | 9.197596 |
779 | 606841 | 472729139 | 27.9105715 | 9.201229 |
786 | 608400 | 471452606 | 27.9284801 | 9.205104 |
781 | 609961 | 476379541 | 27.9463772 | 9.209096 |
782 | 6115.4 | 47o211768 | 27.9642629 | 9.213025 |
783 | 613089 | 480048687 | 27.9821372 | 9.216900 |
781 | 614656 | 48l890304 | 28.0600060 | 9.220879 |
785 | 616225 | 483736625 | 28.0178515 | 9.224751 |
786 | 617796 | 485587650 | 28.0356945 | 9.228700 |
787 | 619369 | 487443403 | 28.0535203 | 9.232019 |
788 | 620944 | 489303872 | 28.0713377 | 9.230528 |
789 | 622521 | 491169069 | 28.0891438 | 9.240435 |
790 | 624100 | 49039000 | 28.1069386 | 9.244335 |
791 | 625681 | 494913674 | 28.1247222 | 9.248234 |
792 | 627264 | 496793388 | 28.1424946 | 9.252136 |
793 | 628849 | 498677257 | 28.1662557 | 9.250022 |
79 | 630136 | 500566184 | 28.1780056 | 9.209911 |
795 | 0320*5 | 502459875 | 28.1957444 | 9.260797 |
796 | 633610 | 504353336 | 28.2134720 | 9.267680 |
79. | 635209 | 506261573 | 28 2311884 | 9.271559 |
798 | 636804 | 508169592 | 28.2433938 | 9.275455 |
799 | 638401 | 510682399 | 28*665331 | 9.279300 |
800 | 640006 | 512000000 | 28 2842712 | 9.283170 |
801 | 641601 | 513922401 | 28.3019434 | 9.287044 |
802 | 643201 | 515849668 | 23.3190045 | 9.290007 |
803 | 644809 | 517781627 | 28.3372540 | 9.29470 |
804 | 646416 | 519718464 | 28.3548938 | 9.298621 |
No. | square. | Cube. | Sq. Root. | CubeRoot. |
805 | 643025 | 5216691251 | 283725219 | 9.302477 |
806 | 649636 | 523606616 | 28 3901391 | 9.306328 |
807 | 651249 | 525557943 | 28.4077454 | 9.310175 |
808 | 652864 | 527514112 | 28 4253408 | 9.3140191 |
809 | 654481 | 529475129 | 28.4429253 | 9.317360 |
810 | 656100 | 531441000 | 28.4604989 | 9.321697 |
811 | 657721 | 533411731 | 28.4780617 | 9.325532 |
812 | 659344 | 53538732S | 23.4956137 | 9.329363 |
813 | 660969 | 537367797 | 23.5131549 | 9.3331922 |
814 | 662596 | 539353144 | 28.5306852 | 9.337017 |
815 | 664225 | 541343375 | 28.5482048 | 9.340839 |
816 | 665856 | 543338496 | 23.5657137 | 9.3i4657i |
817 | 607489 | 5453335133 | 28.5832119 | 9.348473 |
818 | 669124 | 547313432 | 28.6006993 | 9.352286 |
819 | 670761 | 549353259 | 28.6181760 | 9.356095 |
820 | 672400 | 551368000 | 28.6356421 | 9.359902 |
821 | 674041 | 553337661 | 28.6530976 | 93637051 |
822 | 675684 | 555412248 | 28.6705424 | 9 367505 |
823 | 677329 | 557441767 | 23.6879706 | 9.371302 |
824 | 678976 | 559476224 | 23.7054002 | 9.375096 |
825 | 680625 | 561515625 | 28.7228132 | 9.373887 |
826 | 632276 | 563559976 | 28.7402157 | 9.382675 |
827 | 633929 | 565609283 | 28.7576077 | 9.336460 |
823 | 685581 | 567663552 | 28.7749891 | 9.390242 |
829 | 687241 | 569722789 | 28.7923601 | 9.394021 |
830 | 688900 | 571787000 | 28.8097206 | 9.307796 |
831 | 690561 | 573856191 | 28.8270706 | 9.401569 |
832 | 692224 | 575930368 | 28.8444102 | 9.405339 |
833 | 693889 | 578009537 | 28.8617394 | 9.409105 |
834 | 695556 | 580093704 | 28.8790582 | 9.412869 |
835| | 697225 | 582182875 | 28.8963666 | 9.416630 |
836; | 698896 | 584277056 | 28.9136646 | 9.420337 |
837 | 700569 | 586376253 | 28.9309523 | 9.424142 |
838 | 702244 | 588480472 | 28.9482297 | 9.427894 |
839 | 703921 | 590589719 | 28.9651967 | 9.431642 |
840 | 705600 | 592704000 | 28.9827535 | 9.435388 |
841 | 707281 | 594823321 | 29.0000000 | 9.439131 |
842 | 708964 | 596947688 | 29.0172363 | 9.442370 |
843 | 710649 | 599077107 | 29.0344623 | 9.4466071 |
844 | 712336 | 601211584 | 29.0510781 | 9.450341 |
845 | 714025 | 603351125 | 29.0688837 | 9.454072 |
846 | 715716 | 605495736 | 29.0860791 | 9.457800 |
847 | 717409 | 607645423 | 29.1032644 | 9.461525 |
848 | 719104 | 609300192 | 29.1204396 | 9.465247 |
849 | 720801 | 611960049 | 29.1376046 | 9.463966 |
850 | 722500 | 614125000 | 291547595 | 9.472682 |
851 | 724201 | 616295051 | 29.1719043 | 9.476396 |
852 | 725904 | 618470208 | 29.1890390 | 9.480106 |
853 | 727609 | 620650477 | 29.2061637 | 9.483814 |
854 | 729316 | 622835364 | 29.2232784 | 9.487518 |
855 | 731025 | 625026375 | 29.2403830 | 9.491220 |
856 | 732736 | 627222016 | 29.2574777 | 9.494919 |
857 | 734449 | 629422793 | 29.2745623 | 9.498615 |
858 | 736164 | 631623712 | 29.2916370 | 9.5023J8 |
859 | 737881 | 633839779 | 29.3087018 | 9.505998 |
860 | 739600 | 636056000 | 293257566 | 9.509685 |
861 | 741321 | 638277381 | 29.3423015 | 9.513370 |
862 | 743044 | 640503928 | 29.3598365 | 9.517051 |
863 | 744769 | 642735647 | 29.3768616 | 9.520730 |
864 | 746196 | 644972544 | 29.3933769 | 9.524406 |
865 | 748225 | 647214625 | 29.4103823 | 9.528079 |
866 | 749956 | 649461896 | 29.4278779 | 9.531750 |
867 | 751689 | 651714363 | 29.4448637 | 9.535417 |
868 | 753424 | 653972032 | 29.4618397 | 9.539082 |
869 | 755161 | 656234909 | 29.4788059 | 9.542744 |
87C | 756900 | 658503000 | 29.1957624 | 9.546403 |
871 | 758641 | 660776311 | 29.5127091 | 9.550059 |
No. | Square. | Cube. | Sq. Root | CubeRoot. |
872 | 769384 | 663054848 | 29.5296461 | 9.553712 |
873 | 762129 | 665338617 | 29.5465734 | 9.557363 |
874 | 763376 | 667627624 | 29.5634910 | 9.561011 |
875 | 765625 | 669921875 | 29.5803989 | 9.564656 |
876 | 767376 | 672221376 | 29.59729722 | 9.568298 |
877 | 769129 | 674526133 | 29.6141858 | 9.571938 |
878 | 770884 | 676836152 | 29.6310648 | 9.575574 |
879 | 772641 | 679151439 | 29.6479342, | 9.579208 |
880 | 774400 | 681472000 | 29.6647939 | 9.582840 |
881 | 776161 | 683797841 | 29.6816442 | 9.586468 |
832 | 777924 | 686128968 | 29.6984848 | 9.590094 |
883 | 779689 | 688465387 | 29.7153159 | 9.593717 |
834 | 781456 | 690807101 | 29.7321375 | 9.597337 |
8.35 | 783225 | 693154125 | 29.7489496 | 9.600955 |
886 | 784996 | 695506456 | 29.7657521 | 9.604570 |
837 | 786769 | 697864103 | 29.7825452 | 9.603182 |
888 | 788544 | 700227072 | 29.7993289 | 9.614791 |
889 | 790321 | 702595369 | 29.8161030 | 9.615398 |
890 | 792100 | 704969000 | 29.8328678 | 9.619002 |
891 | 793881 | 707347971 | 29.8496231 | 9.622603 |
892 | 795664 | 709732288 | 29.8663690 | 9.626202 |
893 | 797449 | 712121957 | 29.8831056 | 9.629797 |
894 | 799236 | 714516984 | 29.8998328 | 9.633S91 |
895 | 801025 | 716917375 | 29.9165506 | 9.636981 |
896 | 802816 | 719323136 | 29.8332591 | 9.640569 |
897 | 804609 | 721734273 | 29.9499583 | 9.644154 |
898 | 806404 | 724150792 | 29.9666481 | 9.647737 |
899 | 808201 | 726572698 | 29.9833237 | 9.651317 |
900 | 810000 | 729000000 | 30.0000000 | 9.654894 |
901 | 811801 | 731432701 | 30.0166620 | 9.658468 |
902 | 813604! | 733870808 | 30.0333148 | 9.662040 |
903 | 815409 | 736314327 | 30.0499584 | 9.665610 |
904 | 817216 | 738763264 | 30.0665923 | 9.669176 |
905 | 819025 | 741217625 | 30.0832179 | 9.672740 |
906 | 820836 | 742677416 | 30.0998339 | 9.676302 |
907 | 822649 | 746142643 | 30.1164407 | 9.679860 |
908 | 824464 | 748613312 | 30.1330383 | 9.683417 |
909 | 826281 | 751089429 | 30.1496269 | 9.636970 |
910 | 828100 | 753571000 | 30.1662063 | 9.690521 |
911 | 829921 | 756058031 | 30.1827765 | 9.694069 |
912 | 831744 | 758550528 | 30.1993377 | 9.697615 |
913 | 833569 | 761048497 | 30.2158899 | 9.701158 |
914 | 835396 | 763551944 | 30.2324329 | 9.701699 |
915 | 837225 | 766060875 | 30.2489669 | 9.708237 |
916 | 839056 | 768575296 | 30.2654919 | 9.711772 |
917 | 840889 | 771095213 | 30.2820079 | 9.715305 |
918 | 812724 | 773620632 | 30.2985148 | 9.718835 |
919 | 844561 | 776151559 | 30.3150128 | 9.722363 |
920 | 846400 | 778683000 | 30.3315018 | 9.725888 |
921 | 848241 | 781229961 | 30.3479818 | 9.729411 |
922 | 850084 | 783777448 | 30.3644529 | 9.732931 |
923 | 851929 | 786330467 | 30 3809151 | 9.736448 |
924 | 853776 | 788889024 | 30.3973633 | 9.739963 |
925 | 855625 | 791453125 | 30.4138127 | 9.743476 |
926 | 857476 | 794022776 | 30.4302481 | 9.746986 |
927 | 859329 | 796597983 | 30.4466747 | 9.750493 |
928 | 861184 | 799178752 | 30.4630924 | 9.753998 |
929 | 863041 | 801765089 | 30.4795013 | 9.757500 |
930 | 864900 | 804357000 | 30.4959014 | 9.761000 |
931 | 866761 | 806954491 | 30.5122926 | 9.764497 |
932 | 868624 | 809557568 | 30.5286750 | 9.767992 |
933 | 870489 | 812166237 | 30.5150487 | 9.771484 |
934 | 872356 | 814780504 | 30.5614136 | 9.774974 |
935 | 874225 | 817400375 | 30.57776..7 | 9.778462 |
936 | 876096 | 820025856 | 30 5941171 | 9 781947 |
937 | 877969 | 822656953 | 30.6104557 | 9.785429 |
938 | 879844 | 825293672 | 30.6267857 | 9.788909 |
No. | Square. | Cube. | Sq. Root. | CubeRoot. |
939 | 881721 | 827936019 | 30.6431069 | 9.792386 |
940 | 883600 | 830584000! | 30.6594194 | 9.795361 |
941 | 885481 | 833237621 | 30.6757233 | 9.799334 |
942 | 837364 | 835896888; | 30.6920185 | 9.802804 |
943 | 889249 | 838561807 | 30.7083051 | 9806271 |
944 | 891136 | 841232384 | 30.7245830 | 9.809736 |
945 | 893025 | 843908625: | 30.7408523 | 9813199 |
946 | 894916 | 846590536 | 30.571130 | 9.816659 |
947 | 896809 | 849278123 | 30.7733651 | 9.820117 |
948 | 898704 | 851971392 | 30.7896086 | 9.823572 |
949 | 900601 | 854670349; | 30.8058436 | 9.827025 |
950 | 902500 | 857375000! | 30.8220700 | 9.830476 |
951 | 904401 | 860085351 | 30 8382879 | 9833924 |
952 | 906304 | 862801408: | 30.8544972 | 9.837369 |
953 | 908209 | 865523177 | 30.8706981 | 9.840813 |
954 | 910116 | 868250664 | 30.8868904 | 9844254 |
855 | 912025 | 870983875 | 30.9030743 | 9.847692 |
956 | 913936 | 873722816 | 30.9192497 | 9.851128 |
957 | 915849 | 876467493 | 30.9354166 | 9.854562 |
958 | 917764 | 879217912; | 30.9515751 | 9.857993 |
959 | 919681 | 881974079 | 30.9677251 | 9.861422 |
960 | 921800 | 884736000 | 30.9938668 | 9.864848 |
961 | 923521 | 887503681. | 31.0000000 | 9.868272 |
962 | 925444 | 890277128 | 31.0161248 | 9.871694 |
963 | 927369 | 8930563471 | 31.0322413 | 9.875113 |
964 | 929296 | 895341344 | 31.0483494 | 9.878530 |
965 | 931225 | 898632125 | 31.0644491 | 9.881945 |
966 | 933156 | 901428696 | 31.0805405 | 9.885357 |
967 | 935089 | 904231063 | 31.0966236 | 9.888767 |
968 | 937024 | 907039232 | 31.1126984 | 9.892175 |
969 | 938961 | 909853209 | 31.1287648 | 9.895580 |
No. | ! Square. | Cube. | Sq. Root. | CubeRoot |
970 | 940900 | 912673000 | 311448230 | 9.838983 |
971 | 942341 | 915498611 | 31.1608729 | 9.902333 |
972 | 944784 | 918330048 | 311769145 | 9.905782 |
973 | 946729 | 921167317 | 31.1929479 | 9.909178 |
974 | 948676 | 921010424 | 31.2039731 | 9.912571 |
975 | 950625 | 926859375 | 31.2249900 | 9.915962 |
976 | 952576 | 929714176 | 31.2409987 | 9.919351 |
977 | 954529 | 932574833 | 31.2569992 | 9.922733 |
978 | 956484 | 935441352 | 31.2729915 | 9.926122 |
979 | 958441 | 938313739 | 31.2889757 | 9.929504 |
980 | 960400 | 941192000 | 31.3049517 | 9.932884 |
981 | 962361 | 944076141 | 31.3209195 | 9.936261 |
982 | 964324 | 946966168 | 31.3368792 | 9.939636 |
983 | 966289 | 949862087 | 31.3528308 | 9943009 |
984 | 968256 | 952763904 | 31.3687743 | 9.946380 |
985 | 970225 | 955671625 | 31.3847097 | 9.949748 |
986 | 972196 | 958585256 | 31.4006369 | 9 953114 |
987 | 974169 | 961504803 | 31.4165561 | 9.956477 |
288 | 976144 | 964430272 | 31.4324673 | 9.959839 |
989 | 978121 | 967361669 | 31.4483704 | 9.963198 |
990 | 980100 | 970299000 | 31.4642654 | 9.966555 |
991 | 982081 | 973242271 | 31.4801525 | 9.969909 |
992 | 984064 | 976191488 | 31.4960315 | 9.973262 |
993 | 986049 | 979146657 | 31.5119025 | 9.976612 |
994 | 988036 | 982107784 | 31.5277655 | 9.979960 |
995 | 990025 | 985074875 | 31.5436206 | 9.983305 |
996 | 992016 | 988047936 | 31.5594677 | 9.986649 |
997 | 994009 | 991026973 | 31.5753068 | 9.989990 |
998 | 996004 | 994011992 | 31.5911330 | 9.993329 |
999 | 998001 | 997002999 | 31.6069613 | 9.996666 |
1000 | 1000000 | 1000000000 | 31.6227766 | 10.000000 |
The following rules are for finding the squares, cubes, and roots of numbers exceeding 1000.
To find the square of any number divisible without a remainder. Rule. - Divide the given number by such a number from the foregoing table as will divide it without a remainder; then the square of the quotient, multiplied by the square of the number found in the table, will give the answer.
Example. - What is the square of 2000? 2000, divided by 1000. a number found in the table, gives a quotient of 2, the square of which is 4, and the square of 1000 is 1,000,000, therefore:
4 x 1,000,000 = 4,000,000: the Ans.
Another Example. - What is the square of 1230? 1230, being divided by
123, the quotient will be 10, the square of which is 100, and the square of 123 is 15,129, therefore:
100 x 15,129 = 1,512,900: the Ans.
To find the square of any number not divisible without a remainder. Rule. - Add together the squares of such two adjoining numbers from the table as shall together equal the given number, and multiply the sum by 2; then this product, less 1, will be the answer.
Example. - What is the square of 1487? The adjoining numbers, 743 and 744, added together, equal the given number, 1487, and the square of 743 = 552,049, the square of 744 = 553,536, and these added = 1,105,585, therefore:
1,105,585 x 2 = 2,211,170 - 1 = 2,211,169: the Ans.
To find the cube of any number divisible without a remainder. Rule. - Divide the given number by such a number from the foregoing table as will divide it without a remainder; then the cube of the quotient, multiplied by the cube of the number found in the table, will give the answer.
Example. - What is the cube of 2700? 2700, being divided by 900, the quotient is 3, the cube of which is 27 and the cube of 900 is 729,000,000, therefore:
27 x 729,000,000 = 19,683,000,000: the Ans.
To find the square or cube root of numbers higher than is found in the table. Rule. - Select, in the column of squares or cubes, as the case may require, that number which is nearest the given number; then the answer, when decimals are not of importance, will be found directly opposite, in the column of numbers.
Example. - What is the square root of 87,620? In the column of squares, 87,616 is nearest to the given number; therefore, 296, immediately opposite in the column of numbers, is the answer, nearly.
Another example. - What is the cube root of 110,591? In the column of cubes, 110,592 is found to be nearest to the given number; therefore, 48, the number opposite, is the answer, nearly.
To find the cube root more accurately. Rule. - Select from the column of cubes that number which is nearest the given number, and add twice the number so selected to the given number; also, add twice the given number to the number selected from the table. Then, as the former product is to the latter, so is the root of the number selected to the root of the number given.
Example. - What is the cube root of 9200? The nearest number in the column of cubes is 9261, the root of which is 21, therefore:
9261 9200
2 2
18522 18400
9200 9261
As 27,722 is to 27,661, so is 21 to 20.953 + , the Ans.
Thus, 27,661 x 21 = 580,881, and this divided by 27,722 = 20.953 +.
To find the square or cube root of a whole number with decimals. Rule. - Subtract the root of the whole number from the root of the next higher number, and multiply the remainder by the given decimal; then the product, added to the root of the given whole number, will give the answer correctly to three places of decimals in the square root, and to seven in the cube root.
Example. - What is the square root of 11.14? The square root of 11 is 3.3166, and the square root of the next higher number, 12, is 3.4641; the former from the latter, the remainder is 0.1475, and this by 0.14 equals 002065. This added to 3.3166, the sum, 3.33725, is the square root of 11.14.
To find the roots of decimals by the use of the table. Rule. - Seek for the given decimal in the column of numbers, and opposite in the columns of roots will be found the answer, correct as to the figures, but requiring the decimal point to be shifted. The transposition of the decimal point is to be performed thus: For every place the decimal point is removed in the root, remove it in the number two places for the square root and three places for the cube root.
Examples. - By the table, the square root of 86.0 is 9.2736, consequently by the rule the square root of 086 is 0.92736. The square root of 9. is 3., hence the square root of 009 is 0.3. For the square root of 0.0657 we have 0.25632, found opposite No. 657. So, also, the square root of 0.000927 is 0.030446, found opposite No. 927. And the square root of 8.73 (whole number with decimals) is 2.9546, found opposite No 873. The cube root of 0.8 is 0.928, found at No. 800; the cube root of 0.08 is 0.4308, found opposite No. 80, and the cube root of 0.008 is 0.2, as 2.0 is the cube root of 8.0. So also the cube root of 0.047 is 0.36088, found opposite No. 47.
 
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