Intermediate Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-894-7
ISBN 13: 978-0-13417-894-3

Chapter 7 - Section 7.1 - Radical Expressions and Functions - Concept and Vocabulary Check - Page 511: 15



Work Step by Step

Note that when $n$ is even, the number inside the radical sign of $\sqrt[n]{a}$ cannot be negative since its nth root will not be a real number. The given nth root is even, yet it has a negative number inside the radical sign. Thus, its nth root is not a real number. Therefore, the given statement is false.
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