Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 6 - Section 6.5 - Complex Numbers in Polar Form; DeMoivre's Theorem - Exercise Set - Page 769: 109


The statement doesn’t make sense.

Work Step by Step

According to DeMoivre’s Theorem, any complex number has $n$ distinct ${{n}^{th}}$ roots. Hence, according to this theorem $8$ must have $3$ distinct cube roots. The above statement is violating DeMoivre’s Theorem for finding roots of a complex number and therefore the statement doesn’t make sense.
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