Question

Can someone please show me the steps of how to simplify the square root of 96.

Answer 1

So you find pairs of factors and gropu
factor 96
96=2 times 2 times 2 times 2 times 2 times 3
group pairs of same numbers
96=(2 times 2) times (2 times 2) times 2 times 3
so now
√96=$\sqrt{(2 times 2) times (2 times 2) times 2 times 3}$=$2 times 2\sqrt{2 times 3}$=$4\sqrt{6}$

answer is $4\sqrt{6}$

Answer 2

√96 = √16*2*3 =  4√6
use the rules of surds