# How do you find the square root of 32?

Sep 11, 2015

The answer is $4 \sqrt{2}$.

#### Explanation:

$\sqrt{32} =$

Rewrite $32$ as its prime factors.

$\sqrt{2 \times 2 \times 2 \times 2 \times 2} =$

Group the same factors into pairs.

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

Rewrite into exponent form.

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

$\sqrt{{2}^{2}} = 2$

$\left(2 \times 2\right) \times \sqrt{2} =$

$4 \sqrt{2}$