#FutureSTEMLeaders - Wiingy's $2400 scholarship for School and College Students

Apply Now

Square Root

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

Written by Prerit Jain

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

Share article on

tutor Pic
tutor Pic