# How do you simplify 3sqrt( (27 + 1 ))?

Mar 11, 2018

See a solution process below:

#### Explanation:

First, rewrite the expression within the radical as:

$3 \sqrt{27 + 1} \implies 3 \sqrt{28} \implies 3 \sqrt{4 \cdot 7}$

$\sqrt{\textcolor{red}{a} \cdot \textcolor{b l u e}{b}} = \sqrt{\textcolor{red}{a}} \cdot \sqrt{\textcolor{b l u e}{b}}$
$3 \sqrt{\textcolor{red}{4} \cdot \textcolor{b l u e}{7}} \implies$
$3 \sqrt{\textcolor{red}{4}} \cdot \sqrt{\textcolor{b l u e}{7}} \implies$
$3 \cdot 2 \cdot \sqrt{\textcolor{b l u e}{7}} \implies$
$6 \sqrt{\textcolor{b l u e}{7}}$