# Chapter 6 - Radical Functions and Rational Exponents - 6-1 Roots and Radical Expressions - Lesson Check: 9

The index $n$ is odd.

#### Work Step by Step

When the index of a radical is odd, then the given number has only one real nth root. On the other hand, when the index is a even, the given number has two real nth roots: one negative and one positive. Thus, if a number has only one real nth root, then the index $n$ is odd.

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