Question

There are no real nth roots of a number b. What can you conclude about the index n and the number b?

Answer 1

The number b is negative and the index n is even.

Explanation:

For example there are no real roots of √-2 ( where n = 2) or ⁴√-4.

There are real roots of negative numbers, if n is odd.

For example ∛-8 which is -2.