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Square Root

What is the Square Root of 0? How to find the Square Root of 0?

Written by Prerit Jain

Updated on: 12 Aug 2023

What is the Square Root of 0? How to find the Square Root of 0?

What is the Square Root of 0? How to find the Square Root of 0?

The square root of 0 is 0. The square root of any number is a value that when multiplied by itself gives the original number. The inversion of the square root is just squaring the given number just like how subtraction is the inversion of addition and division is the inversion of multiplication. The square root of 4 is 2.

By squaring 22 we get 4 thus the inversion of the square root is squaring the value and when they are multiplied they give the original value. 
The square root of 0 in exponential form is denoted as  01/2  or (0)0.5
The square root of 0 in radical form is denoted as √0.

How to find the square root of 0?

The √0 is 0 itself. The multiplication of 0×0 =0, the division of (0÷0)=0, and the same go for the square root of 1. The √0 = 0. 
We can use the basic polynomial equation to find the square root of 0, let x = 0, then the equation of the square will be,
X2 = 0
Since the square root involves two degrees 0 can be either -0 or 0. But square root normally abides by using the positive number.
Hence, √0 = 0. 

Solved Examples

Example 1: Find the perfect square numbers between 1-10.
Solution:
The perfect square numbers between 1-10 include 1, 4, 9, 16, 25, 36, 49, 64, 81, and 100.

Example 2: Lisa wanted to find the square root of 1 using the prime factorization method lets help her
Solution:
The prime factor of  =1×1
Hence, √1 = 1

Example 3: Can Jacob solve and find the square root of 1 using the long division method?
Solution:


Hence, √1 = 1

Example 4: Find the square root of 1 using the repeated subtraction method.
Solution:
1-1 = 0
Therefore, √1 = 1

Example 5: What is the square root of 3?
Solution:
The square root of 3 = 1.732

FAQs on the square root of 0

What is √0?

The √0 = 0

Which method is used to find the √1?

A square root of 1 can be easily found in any method like prime factorization, repeated subtraction, or the long division method. 

How to write the square root of 0 in exponential form? 

(0)1/2 or 00.5 is the exponential way to write 0.

How to write the square root of 0 in radical form?

The radical form of writing square root is0.

Is 13   an irrational number?

Yes, 13 is an irrational number.

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

Prerit Jain

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