# How do you simplify the square root of 200 - the square root of 32?

##### 1 Answer

It is $\sqrt{200} = \sqrt{2 \cdot 100} = \sqrt{2} \cdot \sqrt{100} = 10 \cdot \sqrt{2}$
and
$\sqrt{32} = \sqrt{{2}^{5}} = \sqrt{{2}^{4} \cdot 2} = 4 \cdot \sqrt{2}$