# How do you simplify (2sqrt5)(3sqrt11)?

Jun 30, 2017

See a solution process below:

#### Explanation:

First, rewrite the expression as:

$\left(2 \times 3\right) \left(\sqrt{5} \times \sqrt{11}\right)$

$6 \left(\sqrt{5} \times \sqrt{11}\right)$

Now, use this rule of radicals to complete the simplification:

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

$6 \left(\sqrt{\textcolor{red}{5}} \cdot \sqrt{\textcolor{b l u e}{11}}\right) = 6 \sqrt{\textcolor{red}{5} \cdot \textcolor{b l u e}{11}} = 6 \sqrt{55}$