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

Contents

### 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.

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**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.

- 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**

A2: √𝛑** = 1.77**

**Q3: Find the square root of 2.**

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 = 13^{2}

Hence, √**169 = 13**

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**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 i**s **√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