# What is the sqrt312 in simplest radical form?

Oct 23, 2017

See a solution process below:

#### Explanation:

First, rewrite the term as:

$\sqrt{4 \times 78}$

We can then use this rule for radicals to simplify the expression:

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

$\sqrt{4 \times 78} \implies \sqrt{4} \sqrt{78} \implies 2 \sqrt{78}$