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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?

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.
Long division method
Long division method
  • 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?

Long division method
Long division method

A 1: √5 = 2.23

Q 2: Find the square root of 2.

Long division method

A 2: √2 = 1.4142

Q 3: Find the square root of 3.

Long division method
Long division method

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.

Frequently asked questions

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

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Prerit Jain

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