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 $i^{2}=-1$.
Trigonometry (10th Edition)
by Lial, Margaret L.; Hornsby, John; Schneider, David I.; Daniels, Callie
Published by
Pearson
ISBN 10:
0321671775
ISBN 13:
978-0-32167-177-6
Chapter 8 - Complex Numbers, Polar Equations, and Parametric Equations - Section 8.1 Complex Numbers - 8.1 Exercises - Page 357: 49
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