# Simplify -√-9??

Apr 18, 2018

$- 3 i$

#### Explanation:

$- \sqrt{- 9}$ $= - i \sqrt{9}$
$- i \sqrt{9}$ =$- 3 i$

Apr 18, 2018

$- 3 i$

#### Explanation:

Everytime you have a negative sign in the root, that means the solution is imaginary.

As you can see, the number inside the square root is $- 9$, so the solution is imaginary.

$i$, or imaginary, equals to $\sqrt{- 1}$, so we can take that out of the root:
$- \sqrt{9} \cdot \sqrt{- 1}$

$- 3 \cdot i$

So the simplification of $- \sqrt{- 9}$ is:
$- 3 i$

Hope this helps!