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: 88


a) $8$ b) $8$

Work Step by Step

a) $(-1+\sqrt3i)(-1+\sqrt3i)(-1+\sqrt3i)=((-1+\sqrt3i)(-1+\sqrt3i))(-1+\sqrt3i)=(1-\sqrt3i-\sqrt3i-3)(-1+\sqrt3i)=(-2-2\sqrt3i)(-1+\sqrt3i)=2-2\sqrt3i+2\sqrt3i+6=8$ b) $(-1-\sqrt3i)(-1-\sqrt3i)(-1-\sqrt3i)=((-1-\sqrt3i)(-1-\sqrt3i))(-1-\sqrt3i)=(1+\sqrt3i+\sqrt3i-3)(-1-\sqrt3i)=(-2+2\sqrt3i)(-1-\sqrt3i)=2+2\sqrt3i-2\sqrt3i+6=8$
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