# How do you simplify √2( √8 - 4 )?

Apr 1, 2018

$4 - 4 \sqrt{2}$

#### Explanation:

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

To simplify this, we need to use the distributive property.

That means that we multiply the $\sqrt{2}$ with everything inside the parenthesis:
$\sqrt{2} \cdot \sqrt{8} = \sqrt{16} = 4$

$\sqrt{2} \cdot - 4 = - 4 \sqrt{2}$

So the expression becomes $4 - 4 \sqrt{2}$.

Hope this helps!