# How do you simplify sqrt104?

Mar 14, 2018

See a solution process below:

#### Explanation:

First, rewrite the expression under the radical as:

$\sqrt{104} \implies \sqrt{4 \cdot 26}$

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

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

$\sqrt{\textcolor{red}{4} \cdot \textcolor{b l u e}{26}} = \sqrt{\textcolor{red}{4}} \cdot \sqrt{\textcolor{b l u e}{26}} \implies 2 \sqrt{26}$