# How do you simplify sqrt2 (sqrt8 + sqrt4)?

multiply and try to get rid of $\sqrt{}$'s if possible

#### Explanation:

$\sqrt{2} \left(\sqrt{8} + \sqrt{4}\right) = \sqrt{2} \sqrt{8} + \sqrt{2} \sqrt{4}$

$= \sqrt{16} + \sqrt{2} \cdot 2$

$= 4 + 2 \sqrt{2}$
or
$= 4 + \sqrt{8}$