How do you simplify √88?

1 Answer
Zain B.
Mar 17, 2018

2√22

Explanation:

Find the prime factors of 88:
88=2⋅44=2⋅2⋅22=2⋅2⋅2⋅11

so √88=√2⋅2⋅2⋅11
=√2⋅2⋅√2⋅11
=2⋅√22
=2√22

So to simplify a root, you break it down into its prime factors and extract any square numbers.

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