# How do you simplify  -sqrt150?

Aug 3, 2016

= $5 \sqrt{6}$

#### Explanation:

Quick note: We can find $- \sqrt{150} ,$ but not $\sqrt{- 150}$

Write 150 as the product of its prime factors, then we can know what we are dealing with.

$\sqrt{150} = \sqrt{2 \times 3 \times 5 \times 5} = \sqrt{2 \times 3 \times {5}^{2}}$

=$5 \sqrt{2 \times 3}$

= $5 \sqrt{6}$