How do you simplify sqrt(40)?

Mar 13, 2018

See a solution process below:

Explanation:

$\sqrt{4 \cdot 10}$

Then use this rule for radicals to simplify the expression:

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

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

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

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