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

2 Answers

2 votes
√96 = √16*2*3 = 4√6
use the rules of surds
User Ronen Ness
by
6.9k points
2 votes
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)
User BVB
by
7.2k points