Find the square root of 16

We have to find the square root of 16

Solution

We will find the square root of 16 by prime factorisation methods

Calculate the prime factors of 16.

The first step is to divide the number 16 with the smallest prime factor, say 2.

16 ÷ 4 = 4

Again divide 4 by 4 and the process goes on.

4 ÷ 4 = 1

So, the prime factors of 16 are written as 4 X 4

On paring the factors we get

16= 4 X 4

√16= √(4 X 4)

√16= 4

Answer

The square root of 16 = √16= 4

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