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Square Root

What Is the Square Root of 1? | How to Find the Square Root of 1?

Written by Prerit Jain

Updated on: 17 Aug 2023

What Is the Square Root of 1? | How to Find the Square Root of 1?

What Is the Square Root of 1? | How to Find the Square Root of 1?

The square root of 1 is 1. The square root of any number is a value which when multiplied by itself gives the original number or 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 1 in exponential form is denoted as  11/2  or (1)0.5
The square root of 1 in radical form is denoted as √1.

How to find the square root of 1?

1 is a real number and by squaring real numbers we get a positive value. 1 is 1 itself. The multiplication of 1 is 1×1=1, the division of (11)=1, and the same goes for the square root of 1. The √1 = 1. 
We can use the basic polynomial equation to find the square root of 1, let x = 1, then the equation of the square will be,
X2 = 1
Since square root involves two degrees √1 can be either -1 or 1. But square root normally abides by using the positive number.
Hence, √1 = 1. 

Is 1 a rational or an irrational number?

The 1 = 1 is a rational number because it has a whole number.

Solved examples

Q1: Find the perfect square numbers between 1-10.
A1: The perfect square numbers between 1-10 include 1, 4, 9, 16, 25, 36, 49, 64, 81, and 100.

Q2: Lisa wanted to find the square root of 1 using the prime factorization method lets help her
A2: The prime factor of 1 =11
Hence, 1 = 1

Q3: Can Jacob solve and find the square root of 1 using the long division method?


Long division method

A 3: Hence, √1 = 1

Q4: Find the square root of 1 using the repeated subtraction method.
A4: 1-1 = 0
Therefore, 1 = 1

Q5: What is the square root of 3
A5: The square root of 3 = 1.732
The square root of 3 is found using the long-division method.

Frequently asked questions:

What is the square root of 1
Since the square root involves two degrees 1 can be either -1 or 1. But square root normally abides by using the positive number.
Hence, √1 = 1.

Which method is used to find the square root of 1?
A square root of 1 can be easily found in any method like prime factorization, repeated subtraction, or the long division method. For the one with a perfect square, all three methods can be used and for a non-perfect square number, the long division method is commonly used.

How to write the square root of 1 in exponential form? 
11/2 or 10.5 is the exponential way to write 1.

How to write the square root of 1 in radical form?
The radical form of writing square root is 1.

Is 1 an irrational number?
No, 1 is a rational number, the reason is that when we divide the number 1 we again get a whole number that 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 method

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Prerit Jain

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