Square Root

# What Is the Square Root of 5? How to Find the Square Root of 5?

Written by Prerit Jain

Updated on: 12 Aug 2023

Contents

### What Is the Square Root of 5? How to Find the Square Root of 5?

The square root of 5 is 2.236. The square root of a number is which, when multiplied by itself gives the product of the original number. The square root is denoted as, for radical form √5 and for exponential form 5^{1/2} or (5)^{0.5}.

To understand the definition of square root better let’s take an example. The square root of 36 is 6. 6 when multiplied itself gives the number. Since 36 is a perfect square number. For the numbers that are not perfect squares, the root is found using the long division method. 5 is considered a non-square number still, finding a square is also possible but they are not whole numbers.

Finding the square root for non-perfect numbers is possible using the long division method.

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**Steps to find the square root of 5**

**Step 1:**Find the smallest integer that can divide the number. The integer 2 is the number that is closest to 5 and can be used as a divisor**Step 2:**Keep following the long division by using the divisor and dividend.

**Step 3:**When the particular number of satisfaction is reached the quotient is the square root of the number. Hence, √5 = 2.23.

**Solved examples**

**Q 1: What is the square root of 5?**

**A 1: **√5 = 2.23

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

**A 2: **√2 = 1.4142

**Q 3: Find the square root of 3.**

**A 3: **Hence, the √3 = 1.732

**Q 4: Find the square root of 121.**

A4: 121 = 11 × 11

121 = 11^{2}

Hence, the** **√121 = 11

**Q5: what is the square root of 10?**

A5: Factors of 10 = 2× 5

Since there is no square root let us take square root on both sides

√10 = √2 ×√5

The root of√ 10 = 1.414 ×2.236

Hence, √10 = 3.162.

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**Frequently asked questions**

**What is the square root of 5?**

The square root of 5 is found using the long division method.

√5 = 2.23

**Which method is used to find the √5?**

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 5 in exponential form?**

5^{1/2} or 5^{0.5 }is the exponential way to write 5

**How to write square root in radical form?**

The radical form of writing square root is √5

**Can I find the square root of 5 using other methods?**

Finding the square root for 5 is not possible using the prime factorization method or repeated subtraction because 5** **is not a perfect square number.

**Is 5 an irrational number?**

Yes, 5 is an irrational number since the number 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

Written by by

Prerit Jain