Elementary Algebra

Published by Cengage Learning
ISBN 10: 1285194055
ISBN 13: 978-1-28519-405-9

Chapter 9 - Roots and Radicals - Chapter 9 Review Problem Set - Page 430: 53



Work Step by Step

Using the properties of radicals, the given expression, $ 9\sqrt[3]{2}-5\sqrt[3]{16} ,$ simplifies to \begin{array}{l}\require{cancel} 9\sqrt[3]{2}-5\sqrt[3]{8\cdot2} \\\\= 9\sqrt[3]{2}-5\sqrt[3]{(2)^3\cdot2} \\\\= 9\sqrt[3]{2}-5(2)\sqrt[3]{2} \\\\= 9\sqrt[3]{2}-10\sqrt[3]{2} \\\\= -\sqrt[3]{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.