Answer
$(\sqrt {-72})^3=-432\sqrt 2i$
Work Step by Step
Use: $i^2=-1$ and $\sqrt {-1}=i$
$(\sqrt {-72})^3=(\sqrt {72}\sqrt {-1})^3=(6\sqrt 2i)^3=(6\sqrt 2)^3i^3=6^3(\sqrt 2)^3(i^2)i=216(2\sqrt 2)(-1)i=-432\sqrt 2i$
Algebra and Trigonometry 10th Edition
by Larson, Ron
Published by
Cengage Learning
ISBN 10:
9781337271172
ISBN 13:
978-1-33727-117-2
Chapter 1 - 1.5 - Complex Numbers - 1.5 Exercises - Page 120: 81
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