Concept explainers
True or false?
a. The principal n th root of an even-indexed root is always positive
b. The principal n th root of an odd-indexed root is always positive.
(a)
Whether the provided statement “The principle
Answer to Problem 1RE
Solution:
The provided statement is false.
The provided statement is false.
Explanation of Solution
For example:
Consider the principle square root of
Now,
This number is neither positive nor negative.
Thus, the provided statement is false.
(b)
Whether the provided statement “The principle
Answer to Problem 1RE
Solution:
The provided statement is false.
The provided statement is false.
Explanation of Solution
For example:
Consider the principle cube root of
Now,
This number is negative.
Thus, the provided statement is false.
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