Answer
$-3-i\sqrt 6$
Work Step by Step
$\frac{-6-\sqrt -24}{2}=\frac{-6-\sqrt (-4\times6)}{2}=\frac{-6-2i\sqrt 6}{2}=\frac{2(-3-i\sqrt 6)}{2}=-3-i\sqrt 6$
We know that $\sqrt -1=i$, because $i^{2}=-1$.
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