Intermediate Algebra (12th Edition)

Published by Pearson
ISBN 10: 0321969359
ISBN 13: 978-0-32196-935-4

Chapter 7 - Summary Exercises - Performing Operations with Radicals and Rational Exponents: 15

Answer

$2abc^3\sqrt[3]{b^2}$

Work Step by Step

$\bf{\text{Solution Outline:}}$ To simplify the given radical expression, $ \sqrt[3]{8a^3b^5c^9} ,$ write the radicand as an expression that contains a factor that is a perfect power of the index. Then extract the root of that factor. $\bf{\text{Solution Details:}}$ Writing the radicand as an expression that contains a factor that is a perfect power of the index and extracting the root of that factor result to \begin{array}{l}\require{cancel} \sqrt[3]{8a^3b^3c^9\cdot b^2} \\\\= \sqrt[3]{(2abc^3)^3\cdot b^2} \\\\= 2abc^3\sqrt[3]{b^2} .\end{array}
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.