# What is 2(times square root of 2)^3?

Sep 12, 2015

$16 \sqrt{2}$

#### Explanation:

I'm assuming you meant ${\left(2 \sqrt{2}\right)}^{3}$.

All you have to do with this one is separate the terms and multiply them separately:

${\left(2 \sqrt{2}\right)}^{3} = {\left(2\right)}^{3} \cdot {\left(\sqrt{2}\right)}^{3} = 8 \cdot \sqrt{8}$

How do you simplify $\sqrt{8}$ ?
$\sqrt{8} = \sqrt{4} \cdot \sqrt{2} = 2 \cdot \sqrt{2}$

$8 \sqrt{8} = 8 \cdot 2 \sqrt{2} = 16 \sqrt{2}$