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 - Page 103: 38

Answer

$-3-i\sqrt{2}$

Work Step by Step

Original Problem: $\frac{-9-\sqrt{-18}}{3}$ Factor out $\sqrt{-1}$. $\frac{-9-\sqrt{-1}\times\sqrt{18}}{3}$ Factor out 3. Know that $\sqrt{-1}=i$. $\frac{-9-3i\sqrt{2}}{3}$ Divide each numerator term by 3. $-3-i\sqrt{2}$
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