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 - Exercise Set: 69

Answer

The expression is not a real number.

Work Step by Step

RECALL: When the index, $n$ is even, the value of $a$ in $\sqrt[n]{a}$ cannot be negative since its nth root will not be a real number. The given radical has an even index (6). Since the number inside the radical is negative, its 6th root will not be a real number. Thus, the given expression is not a real number.
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