Intermediate Algebra for College Students (7th Edition)

Published by Pearson

Chapter 7 - Section 7.1 - Radical Expressions and Functions - Exercise Set - Page 512: 65

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 the nth root will not be a real number. The given radical expression has an even index. Since the number inside the radical sign is negative, its nth root is not a real number.

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