Algebra 2 Common Core

Published by Prentice Hall
ISBN 10: 0133186024
ISBN 13: 978-0-13318-602-4

Chapter 6 - Radical Functions and Rational Exponents - 6-2 Multiplying and Dividing Radical Expressions - Practice and Problem-Solving Exercises - Page 372: 75

Answer

sometimes

Work Step by Step

The even root of a negative radicand is NOT a real number, while the even root of a positive radicand is a real number. Hence, the given expression, $ \sqrt[]{-x} ,$ is SOMETIMES a real number. If $x$ is a negative number, then the radicand, $-(x),$ is positive, which makes $\sqrt{-(x)}$ a real number. But if $x$ is positive, then $\sqrt{-x}$ is not a real number.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.