Elementary Algebra

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

Chapter 9 - Roots and Radicals - 9.1 - Roots and Radicals - Problem Set 9.1 - Page 401: 68

Answer

$21\sqrt5 - 11\sqrt6$

Work Step by Step

RECALL: The distributive property states that for any real numbers a, b, and c: $ac+bc=(a+b)c$ Regroup the terms to obtain: $=(7\sqrt5+14\sqrt5)+(-9\sqrt6-2\sqrt6)$ Use the distributive property to simplify: $=(7+14)\sqrt5 + (-9-2)\sqrt6 \\=(21)\sqrt5 + (-11)\sqrt6 \\=21\sqrt5 - 11\sqrt6$
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.

GradeSaver will pay $15 for your literature essays
GradeSaver will pay $25 for your college application essays
GradeSaver will pay $50 for your graduate school essays – Law, Business, or Medical
GradeSaver will pay $10 for your Community Note contributions
GradeSaver will pay $500 for your Textbook Answer contributions