Question

simplify √-9
3i
-3
-i
3

Explanation:

Step1: Rewrite -9 as product

$\sqrt{-9}=\sqrt{9\times(- 1)}$

Step2: Use square - root property

$\sqrt{9\times(-1)}=\sqrt{9}\times\sqrt{-1}$

Step3: Evaluate square - roots

We know that $\sqrt{9} = 3$ and $\sqrt{-1}=i$, so $\sqrt{9}\times\sqrt{-1}=3i$

Answer:

$3i$