Answer
See below.
Work Step by Step
Based on the $n$th root formula
$(z)^{1/n}=\sqrt[n] r(cos(\frac{360k+t}{n})^\circ+i\ sin(\frac{360k+t}{n})^\circ)$,
all the roots have the same magnitude $\sqrt[n] r$.
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)
by Sullivan III, Michael
Published by
Pearson
ISBN 10:
0-32193-104-1
ISBN 13:
978-0-32193-104-7
Chapter 8 - Polar Coordinates; Vectors - Section 8.3 The Complex Plane; De Moivre's Theorem - 8.3 Assess Your Understanding - Page 615: 63
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