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
