# What is the square root of 5 times the square root of 3?

##### 1 Answer
Mar 25, 2018

What is $\sqrt{5} \times \sqrt{3}$?

Use this rule for radicals: $\sqrt{\textcolor{red}{a}} \cdot \sqrt{\textcolor{b l u e}{b}} = \sqrt{\textcolor{red}{a} \cdot \textcolor{b l u e}{b}}$

Substituting gives:

$\sqrt{\textcolor{red}{5}} \cdot \sqrt{\textcolor{b l u e}{3}} \implies \sqrt{\textcolor{red}{5} \cdot \textcolor{b l u e}{3}} \implies \sqrt{15}$ Or, approximately 3.873