Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter R - Review of Basic Concepts - R.7 Radical Expressions - R.7 Exercises - Page 74: 18


$\color{blue}{\text{not a real number}}$

Work Step by Step

RECALL: $\sqrt[n]{a} = a^{1/n}$ Use the rule above by to obtain: $\sqrt[4]{-256} = (-256)^{1/4}$ Since there is no real number $a$ such that $a^{4} = -256$, then the given expression is: $\color{blue}{\text{not a real number}}$
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.