# How do you simplify sqrt20-sqrt75?

Jun 14, 2016

$2 \sqrt{5} - 5 \sqrt{3}$

#### Explanation:

In order to simplify we must first factor each of the radicals.

$\sqrt{20} - \sqrt{75}$

$\sqrt{2 \cdot 2 \cdot 5} - \sqrt{5 \cdot 5 \cdot 3}$

Each pair comes outside the radical.

$2 \sqrt{5} - 5 \sqrt{3}$