# What is 5 square root of 8 times square root 18?

Mar 4, 2018

See a solution process below:

#### Explanation:

First, we can write this as an algebraic expression:

$5 \sqrt{8} \cdot \sqrt{18}$

Now, we can use this rule of exponents to combine the radicals:

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

$5 \sqrt{\textcolor{red}{8}} \cdot \sqrt{\textcolor{b l u e}{18}} \implies$

$5 \sqrt{\textcolor{red}{8} \cdot \textcolor{b l u e}{18}} \implies$

$5 \sqrt{144} \implies$

$5 \times 12 \implies$

$60$