# How do you simplify sqrt16562 ?

Mar 19, 2018

See a solution process below:

#### Explanation:

We can rewrite the term under the radical as:

$\sqrt{49 \cdot 169 \cdot 2}$

We can now use this rule for radicals to simplify the radical:

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

$\sqrt{\textcolor{red}{49} \cdot \textcolor{b l u e}{169} \cdot 2} \implies$

$\sqrt{\textcolor{red}{49}} \cdot \sqrt{\textcolor{b l u e}{169}} \cdot \sqrt{2} \implies$

$7 \cdot 13 \cdot \sqrt{2} \implies$

$91 \sqrt{2}$