# How do you simplify sqrt5 - 3sqrt5?

Jun 2, 2016

$- 2 \sqrt{5}$

#### Explanation:

Notice there are two terms, each has $\sqrt{5}$ which can be divided out as a common factor.

$\sqrt{5} - 3 \sqrt{5} = \sqrt{5} \left(1 - 3\right)$

This gives $\sqrt{5} \times - 2$ which can be written as $- 2 \sqrt{5}$

Or just by regarding the two terms as like terms we have

$1 \sqrt{5} - 3 \sqrt{5} = - 2 \sqrt{5}$