# How do you simplify 5sqrt(2x) * 4sqrt(10x)?

Apr 18, 2016

$40 x \sqrt{5}$

#### Explanation:

Put together like terms - multiply proper numbers, then multiply square roots, and then put them all together.

$4 \cdot 5 = 20$
$\sqrt{2 x} \cdot \sqrt{10 x} = \sqrt{20 {x}^{2}} = 2 x \sqrt{5}$

And putting them back together,

$20 \cdot 2 x \sqrt{5} = 40 x \sqrt{5}$