# How do you simplify 3sqrt(x^8yz^7)?

Jun 17, 2017

See a solution process below:

#### Explanation:

First, rewrite this expression as:

$3 \sqrt{{x}^{8} {z}^{6} \cdot y z}$

Next, use this rule for radicals to write the expression as:

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

$3 \sqrt{\textcolor{red}{{x}^{8} {z}^{6}} \cdot \textcolor{b l u e}{y z}} \implies 3 \sqrt{\textcolor{red}{{x}^{8} {z}^{6}}} \cdot \sqrt{\textcolor{b l u e}{y z}} \implies 3 {x}^{4} {z}^{3} \sqrt{y z}$