Many of the school children are unable to find the square root of a given number. This article will help those children in overcoming that problem and after going through this article they can able to understand **how to find the square root **of a number.

If the given number is a perfect square number then finding square root of that number is easy otherwise we should find the square root by long division method. For example, the number 10 is not a perfect square number so to find square root of 10 we should use long division method. Now here we will see **how to find the square root of perfect square numbers**. Am going to take two numbers i.e. 1764, 1225 and I will show you how to find the square root of that numbers.

**Let’s see how to find the square root of the number 1764.**

Let’s start doing the prime factorization for the given number 1764.

After doing prime factorization of 1764, now we can see that 1764 can be written as

1764 = 2 x 2 x 3 x 3 x 7 x 7

For every two same factors draw a line below the factors as shown below.

Therefore, **the square root value of 1764 is 42.**

**Let’s see how to find the square root of the number 1225.**

Now write the number 1225 as

1225 = 5x5x7x7

For every two same factors draw a line below the factors as shown below.

From each group take one digit and multiply them for getting square root value.

Therefore the **square root value of 1225 is 35**.

Like this we can find square root of any number. I hope you understood the concept of **finding the square roots**.

Also Read:

Square root of 4096 by different methods

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