# How do you simplify 3 sqrt (2x^2y)?

Jun 28, 2017

See a solution process below:

#### Explanation:

First, rewrite the expression as:

$3 \sqrt{{x}^{2} \cdot 2 y}$

Now use this rule for radicals to complete the simplification:

$\sqrt{\textcolor{red}{a} \cdot \textcolor{b l u e}{b}} = \sqrt{\textcolor{red}{a}} \cdot \sqrt{\textcolor{b l u e}{b}}$

$3 \sqrt{\textcolor{red}{{x}^{2}} \cdot \textcolor{b l u e}{2 y}} = 3 \sqrt{\textcolor{red}{{x}^{2}}} \cdot \sqrt{\textcolor{b l u e}{2 y}} = 3 x \sqrt{2 y}$