Do you know how to find the square root of the perfect square numbers?

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.

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.

how to find the square root of a number

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.

how to find the square root of a number

how to find the square root of a number

Therefore, the square root value of 1764 is 42.

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

how to find the square root of a number

Now write the number 1225 as

1225 = 5x5x7x7

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

how to find the square root of a number

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

how to find the square root of a number

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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