# How do you simplify the sqrt75?

Mar 5, 2018

See a solution process below:

#### Explanation:

First, rewrite the expression as:

$\sqrt{25 \cdot 3}$

Now, use this rule of radicals to simplify the expression:

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

$\sqrt{\textcolor{red}{25} \cdot \textcolor{b l u e}{3}} = \sqrt{\textcolor{red}{25}} \cdot \sqrt{\textcolor{b l u e}{3}} = 5 \sqrt{3}$