# How do you simplify sqrt(-25)?

Apr 10, 2016

$5 i$

#### Explanation:

$\sqrt{-} 25$

$= \sqrt{- 1 \times 5 \times 5}$

$= 5 \sqrt{- 1}$

We know that $\sqrt{- 1} = i$

$\sqrt{- 25} = 5 i$