College Algebra (11th Edition)

Published by Pearson
ISBN 10: 0321671791
ISBN 13: 978-0-32167-179-0

Chapter 1 - Section 1.3 - Complex Numbers - 1.3 Exercises: 37

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. $-3-i\sqrt{6}$
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