Answer
$-3-i\sqrt{6}$
Work Step by Step
Original Problem:
$\frac{-6-\sqrt{-24}}{2}$
Factor out $\sqrt{-1}$.
$\frac{-6-\sqrt{1}\times\sqrt{24}}{2}$
Factor out 2. Know that $\sqrt{-1}=i$.
$\frac{-6-2i\sqrt{6}}{2}$
Divide each numerator term by 2.
$-3-i\sqrt{6}$
