# How do you multiply sqrt(24/2)?

Jun 30, 2017

See a solution process below:

#### Explanation:

First, we can rewrite this radical as:

$\sqrt{\frac{24}{2}} = \sqrt{12}$

We can again rewrite this radical as:

$\sqrt{12} = \sqrt{4 \cdot 3}$

Now, we can use this rule of radicals:

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

$\sqrt{\textcolor{red}{4} \cdot \textcolor{b l u e}{3}} = \sqrt{\textcolor{red}{4}} \cdot \sqrt{\textcolor{b l u e}{3}} = 2 \sqrt{3}$

If necessary to simplify further, $\sqrt{3} = 1.732$ rounded to the nearest thousandth.

$2 \sqrt{3} = 2 \cdot 1.732 = 3.464$