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Square Root

# What Is the Square Root of 5? How to Find the Square Root of 5?

Written by Prerit Jain

Updated on: 12 Aug 2023

### What Is the Square Root of 5? How to Find the Square Root of 5?

The square root of 5 is 2.236. The square root of a number is which, when multiplied by itself gives the product of the original number. The square root is denoted as, for radical form √5 and for exponential form 51/2 or (5)0.5.

To understand the definition of square root better let’s take an example. The square root of 36 is 6. 6 when multiplied itself gives the number. Since 36 is a perfect square number. For the numbers that are not perfect squares, the root is found using the long division method. 5 is considered a non-square number still, finding a square is also possible but they are not whole numbers.

Finding the square root for non-perfect numbers is possible using the long division method.

## Steps to find the square root of 5

• Step 1: Find the smallest integer that can divide the number. The integer 2 is the number that is closest to 5 and can be used as a divisor
• Step 2: Keep following the long division by using the divisor and dividend.
• Step 3: When the particular number of satisfaction is reached the quotient is the square root of the number. Hence, √5 = 2.23.

## Solved examples

Q 1: What is the square root of 5?

A 1: √5 = 2.23

Q 2: Find the square root of 2.

A 2: √2 = 1.4142

Q 3: Find the square root of 3.

A 3: Hence, the √3 = 1.732

Q 4: Find the square root of 121.
A4: 121 = 11 × 11
121 = 112
Hence, the √121 = 11

Q5: what is the square root of 10?
A5: Factors of 10 = 2× 5
Since there is no square root let us take square root on both sides
√10 = √2 ×√5
The root of√ 10 = 1.414 ×2.236
Hence, √10 = 3.162.

What is the square root of 5?
The square root of 5 is found using the long division method.
√5 = 2.23

Which method is used to find the √5?
The standard method that is used to find the square root of any number is the long division method.

How to write the square root of 5 in exponential form?
51/2 or 50.5 is the exponential way to write 5

How to write square root in radical form?
The radical form of writing square root is √5

Can I find the square root of 5 using other methods?
Finding the square root for 5 is not possible using the prime factorization method or repeated subtraction because 5 is not a perfect square number.

Is 5 an irrational number?
Yes, 5 is an irrational number since the number is not equal to zero

What are the methods to find the square root of a number?
There are three methods to find the square root of a number
Prime factorization method
Long division method
Repeated subtraction

Written by by

Prerit Jain

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