We all recognize that the length of each side of a square is the square root of that is area. Think of a number that gives 54 ~ above squaring? n2= 54. What could be n? Squares and also square roots space special exponents. When the exponent on the number is 2, the is termed as square and when the exponent is ½ the is dubbed a square root of a number. Let's see just how to find the square source of 54 and also discover interesting facts about them. In this mini lesson, let us learn around the square root of 54, find out even if it is the square source of 54 is reasonable or irrational, and see just how to find the square root of 54 through long department method.

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**Square source of 54**:

**√**54 = 7.348

**Square that 54:**542 = 2916

1. | What Is the Square source of 54? |

2. | Is Square source of 54 reasonable or Irrational? |

3. | How to find the Square source of 54? |

4. | FAQs on Square root of 54 |

5. | Important note on Square source of 54 |

6. | Challenging Questions |

## What Is the Square root of 54?

Thesquare source of a number is the number the ismultiplied to chin to provide the product together the initial number. Non-square numbers additionally have square root, simply that they room not whole numbers. 54 is a non-square number.

We can likewise express the square source of 54inits shortest radical type as 3**√**6The square root of 54 in the decimal form up to three decimal places = + 7.348 or -7.348

## Is Square source of 54 rational or Irrational?

A number that cannot it is in expressed as a ratio of 2 integers is an irrational number.The decimal type of the irrational number will be non-terminating (i.e it never ends) and non-recurring (i.e the decimal component of the number never ever repeats a pattern).Now let united state look in ~ the square source of 54.**√**54 = 7.348. The decimal component is never-ending, and we cannot view a sample in the decimal part.So **√**54 is an irrational number.

## How to uncover the Square source of 54?

There are two various methods to find the square source of 54

### Square root of 54 by element factorization method.

To findthe square source of 54, permit us very first express 54as a product that its element factors.The **prime administrate of 54= 2 × 3× 3 × 3**. Therefore,**√**54 =**√**(2 × 33) = 3**√**6 and3**√**6= 7.348

### Square root of 54 by Long department Method

Let us follow the actions to uncover the square source of 54by long division.

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Explore Square roots utilizing illustrations and also interactive examples

**Important Notes**

The square source of 54 ≈ 7.348The square source of 54 in its most basic radical type is 3

**√**6

**√**54 is irrational. Its real roots room +7.348 and also -7.348

**Challenging Questions**

What is the worth of

**√**(

**√**(

**√**(

**√**(54)))?Simplify ( (50)1/2)1/2

**Example 2:**Joel had a doubt. The knew that 7.348is a square root of 54. He want to know if -7.348 is additionally a square source of 54? have the right to you clarify his doubt?

**Solution:**

Let us take an example of a perfect square number and extend the very same logic come clarify she doubt.We know that 5is a square root of 25because when 5is multiply to chin it provides 25But what about -5?Let us multiply and check.-5 × -5= 25, because (- × - = +).Therefore -5is also a square source of 25Going by the exact same logic,-7.348 is additionally the square source of 54.