Algebra and Trigonometry 10th Edition

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: 82


$(\sqrt {-2})^6=-8$

Work Step by Step

Use: $i^2=-1$ and $\sqrt {-1}=i$ $(\sqrt {-2})^6=(\sqrt 2\sqrt {-1})^6=(\sqrt 2i)^6=(\sqrt 2)^6i^6=8(i^2)^3=8(-1)^3=-8$
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