# How do you simplify sqrt3(sqrt5 - sqrt3)?

Apr 23, 2017

See the entire solution process below:

#### Explanation:

First, rewrite this expression as:

$\left(\sqrt{3} \cdot \sqrt{5}\right) - \left(\sqrt{3} \cdot \sqrt{3}\right)$

Now, use this rule for radicals to combine the terms within parenthesis;

$\sqrt{a} \cdot \sqrt{b} = \sqrt{a \cdot b}$

$\left(\sqrt{3} \cdot \sqrt{5}\right) - \left(\sqrt{3} \cdot \sqrt{3}\right) =$sqrt(3 * 5) - sqrt(3 * 3) =#

$\sqrt{15} - \sqrt{9} = \sqrt{15} \pm 3$