Trigonometry (10th Edition)

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: 23

Answer

$-3i\sqrt 2$

Work Step by Step

$-\sqrt -18=-(\sqrt (9\times2\times-1))=-(\sqrt 9\times\sqrt 2\times\sqrt -1)=-(3i\sqrt 2)=-3i\sqrt 2$ We know that $\sqrt 9=3$, because $3^{2}=9$. We know that $\sqrt -1=i$, because $i^{2}=-1$.
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