# What is the sqrt 384 in simplest radical form?

Mar 20, 2018

See a solution process below:

#### Explanation:

We can rewrite this expression as;

$\sqrt{384} \implies \sqrt{64 \cdot 6}$

We can now use this rule for radicals to simplify the expression:

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

$\sqrt{\textcolor{red}{64} \cdot \textcolor{b l u e}{6}} \implies \sqrt{\textcolor{red}{64}} \cdot \sqrt{\textcolor{b l u e}{6}} \implies 8 \sqrt{6}$