Elementary Algebra

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

Chapter 9 - Roots and Radicals - 9.2 - Simplifying Radicals - Problem Set 9.2: 55

Answer

$3\sqrt{5}$

Work Step by Step

Using the properties of radicals, the given expression, $ 4\sqrt{45}-9\sqrt{5} ,$ simplifies to \begin{array}{l}\require{cancel} 4\sqrt{9\cdot5}-9\sqrt{5} \\\\= 4\sqrt{(3)^2\cdot5}-9\sqrt{5} \\\\= 4\cdot3\sqrt{5}-9\sqrt{5} \\\\= 12\sqrt{5}-9\sqrt{5} \\\\= 3\sqrt{5} .\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.