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Square Root

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

Written by Prerit Jain

Updated on: 12 Aug 2023

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

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

The square root of 𝛑 is 1.77. The square root of a value is given when a particular number is multiplied by itself and gives the number or a number when they have squared equals to a specified number. The square root of pi is found using the long division method. 

Steps to find the square root of 𝛑

  • Step 1: Find the smallest integer that can divide the number. The smallest integer is closest and can be divided using the number 1.
  • Step 2: Keep following the long division using 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, the √𝛑 = 1.77

Solved examples

Q1: Find the square root of 6 using the prime factorization method
A1: The prime factors of 6 =  2×3
Since there is no square root let us take the square root on both sides
√ 6 = √ 2×√ 3
√ 6 = 1.414 ×1.732
√ 6 = 2.44

Q2: Sonam has to find the square root of 𝛑 using the long division method, help him

Long division method

A2: √𝛑 = 1.77

Q3: Find the square root of 2.

Long division method

A3: The √2 = 1.4142

Q4: Find the square root of 100.
A4: Hence, the √100 = 10

Q5: what is the square root of 169?
A5: √169 = 13 × 13
√169 = 132
Hence, √169 = 13

Frequently asked questions

What is the √𝛑
√𝛑 =  1.77

Which method is used to find the √𝛑
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 𝛑 in radical form?
The radical form of writing square root is √𝛑

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

How do you denote the symbol pi?
The symbol pi is expressed as 𝛑

How to denote the square root symbol?
The square root symbol is expressed as √

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

We hope that we have answered all your queries related to the square root of 𝛑!

Written by

Prerit Jain

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