Evaluate the square root of 96 in radical form

We have to find the square root of 96 in radical form

Solution

We will use prime factorisation method to find the square root

√96 = 52

The first step is to divide the number 96 with the smallest prime factor, say 2.
96 ÷ 2 = 48

Again divide 48 by 2
48 ÷ 2 = 24

24 ÷ 2 = 12

12 ÷ 2 = 6

6 ÷ 2 = 3

3 ÷ 3 = 1

96= 2 x 2 x 2 x 2 x 2 x 3

√96 = √(2 x 2 x 2 x 2 x 2 x 3)

On paring

√96 = √ (2 x 2 ) (2×2) (2 x 3)

√96 = 4 √6

Answer

The square root of 96 = 4 √6

√96=4 √6

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