# How do you multiply -4sqrt(15x^5) * sqrt(10x^3)?

Jul 6, 2015

I found: $= - 20 {x}^{4} \sqrt{6}$

#### Explanation:

You can multiply the arguments of the square roots to get:
$= - 4 \sqrt{15 {x}^{5} \cdot 10 {x}^{3}} = - 4 \sqrt{150 {x}^{5 + 3}} = - 4 \sqrt{6 \cdot 25 \cdot {x}^{8}} =$
$= - 4 \cdot 5 {x}^{4} \sqrt{6} = - 20 {x}^{4} \sqrt{6}$