# How do you simplify 3sqrt2(2sqrt-4)+sqrt2(5-sqrt2)?

May 5, 2017

$11 \sqrt{2} - 2$

#### Explanation:

Before we begin tackling this problem, separate it into small chunks so that it is easier for us to handle.

$\sqrt{-} 4$ does not exist as it is a negative surd(radical) so the problem looks like this.

$3 \sqrt{2} \cdot \left(2\right)$ = $6 \sqrt{2}$

$\sqrt{2} \left(5 - \sqrt{2}\right)$
Multiply it out and then simplify:

$5 \sqrt{2} - \sqrt{4}$ = $5 \sqrt{2} - 2$

Now add the two parts together which will give you the answer.

$6 \sqrt{2} + 5 \sqrt{2} - 2$

$= 11 \sqrt{2} - 2$