Question

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

Answer 1

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

Answer 2

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=
`√((2 times 2) times (2 times 2) times 2 times 3)`=
`2 times 2√(2 times 3)`=
`4√(6)`

answer is
`4√(6)`