# What is the square root of x^3?

Mar 27, 2018

See a solution process below:

#### Explanation:

First, rewrite the expression as:

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

Then use this rule of radicals to simplify the expression:

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

$\sqrt{\textcolor{red}{{x}^{2}} \cdot \textcolor{b l u e}{x}} \implies \sqrt{\textcolor{red}{{x}^{2}}} \cdot \sqrt{\textcolor{b l u e}{x}} \implies \textcolor{red}{x} \sqrt{\textcolor{b l u e}{x}}$