# How do you simplify sqrt(40a^2)?

Mar 11, 2018

#### Answer:

See a solution process below:

#### Explanation:

First, rewrite the term in the radical as:

$\sqrt{4 {a}^{2} \cdot 10}$

Next, use this rule for radicals to simplify the radical:

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

$\sqrt{\textcolor{red}{4 {a}^{2}} \cdot \textcolor{b l u e}{10}} \implies$

$\sqrt{\textcolor{red}{4 {a}^{2}}} \cdot \sqrt{\textcolor{b l u e}{10}} \implies$

$2 a \sqrt{\textcolor{b l u e}{10}}$