How do you simplify $sqrt(88)$ ?

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Answer 1 · 2018-03-17T00:54:56

$2sqrt22$

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

so $sqrt88=sqrt(2*2*2*11)$
= $sqrt(2*2)*sqrt(2*11)$
= $2*sqrt(22)$
= $2sqrt22$

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

How do you simplify sqrt(88)sqrt(88)?