Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson
ISBN 10: 0-32184-874-8
ISBN 13: 978-0-32184-874-1

Chapter 10 - Exponents and Radicals - Review Exercises: Chapter 10 - Page 693: 34



Work Step by Step

Extracting the factors that are perfect powers of the index, the given expression simplifies to \begin{array}{l}\require{cancel} \sqrt{50}+2\sqrt{18}+\sqrt{32} \\\\= \sqrt{25\cdot2}+2\sqrt{9\cdot2}+\sqrt{16\cdot2} \\\\= \sqrt{(5)^2\cdot2}+2\sqrt{(3)^2\cdot2}+\sqrt{(4)^2\cdot2} \\\\= 5\sqrt{2}+2\cdot3\sqrt{2}+4\sqrt{2} \\\\= 5\sqrt{2}+6\sqrt{2}+4\sqrt{2} \\\\= (5+6+4)\sqrt{2} \\\\= 15\sqrt{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.