Question

use the imaginary number $i$ to rewrite the expression below as a complex number. simplify all radicals. $-\sqrt{-9}$

Explanation:

Step1: Rewrite negative radicand

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

Step2: Separate radicals using property

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

Step3: Substitute $\sqrt{-1}=i$ and simplify

$= -3i$

Answer:

$-3i$