How do you find the square root of 32?

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Answer 1 · 2015-09-11T21:16:26

The answer is $4sqrt2$ .

$sqrt32=$

Rewrite $32$ as its prime factors.

$sqrt(2xx2xx2xx2xx2)=$

Group the same factors into pairs.

$sqrt((2xx2)xx(2xx2)xx2=$

Rewrite into exponent form.

$sqrt((2^2)xx(2^2)xx2=$

$sqrt(2^2)=2$

$(2xx2)xxsqrt2=$

$4sqrt2$