We all understand that the length of each side that a square is the square source of its area. Think of a number that provides 54 ~ above squaring? n2= 54. What might be n? Squares and square roots room special exponents. When the exponent on the number is 2, that is termed as square and also when the exponent is ½ that is dubbed a square source of a number. Let's see how to discover the square source of 54 and additionally discover amazing facts approximately them. In this mini lesson, let us learn around the square source of 54, uncover out whether the square root of 54 is rational or irrational, and see exactly how to uncover the square root of 54 by long department method.

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Square source of 54:54 = 7.348Square that 54: 542 = 2916
 1 What Is the Square source of 54? 2 Is Square root of 54 reasonable or Irrational? 3 How to find the Square source of 54? 4 FAQs top top Square source of 54 5 Important notes on Square root of 54 6 Challenging Questions

## What Is the Square source of 54?

Thesquare source of a number is the number that ismultiplied to itself to give the product together the original number. Non-square numbers likewise have square root, simply that they room not entirety numbers. 54 is a non-square number.

We can additionally express the square root of 54inits shortest radical kind as 36The square root of 54 in the decimal kind up to three decimal places = + 7.348 or -7.348

## Is Square root of 54 rational or Irrational?

A number that cannot it is in expressed as a ratio of 2 integers is one 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 us look in ~ the square root of 54.54 = 7.348. The decimal component is never-ending, and also we cannot view a sample in the decimal part.So 54 is an irrational number.

## How to discover 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 root of 54, allow us an initial express 54as a product the its element factors.The prime factorization of 54= 2 × 3× 3 × 3. Therefore,54 =(2 × 33) = 36 and36= 7.348

### Square source of 54 by Long department Method

Let us follow the steps to find the square source of 54by long division.

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Step 1:Make a pair of digit (by placing a bar end it ) indigenous one'splace.Step 2:Find a number such that when you main point it v itself, the product is less than or equal to 54. We recognize that 7× 7is 49 and is much less than 54. Now let us divide 54by 7Step 3: permit us ar a decimal suggest andpairs of zeros and also continue our division. Now, multiply the quotient by 2 and also the product i do not care the starting digit the our next divisor.Step 4: choose anumber in the unit's place for the brand-new divisor such that its product v a number is much less than or equal to 500. We understand that 3is in the ten's place and our product needs to be 500 and also the closest multiplication is143× 3= 429. Therefore our long division now looks like:

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Important Notes

The square root of 54 ≈ 7.348The square root of 54 in its simplest radical form is 3654 is irrational. Its genuine roots space +7.348 and -7.348

Challenging Questions

What is the value of ((((54)))?Simplify ( (50)1/2)1/2

Example 2:Joel had actually a doubt. That knew that 7.348is a square root of 54. He wanted to understand if -7.348 is likewise a square source of 54? have the right to you clarification his doubt?

Solution:

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