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

Jun 19, 2018

$\sqrt{15} - 3$

#### Explanation:

To simplify this, we will use the distributive property, shown below:

Following this image, we know that:
$\textcolor{b l u e}{\sqrt{3} \left(\sqrt{5} - \sqrt{3}\right) = \sqrt{3} \sqrt{5} - \sqrt{3} \sqrt{3} = \sqrt{15} - \sqrt{9} = \sqrt{15} - 3}$

Hope this helps!