Elementary Algebra

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

Chapter 9 - Roots and Radicals - 9.4 - Products and Quotients Involving Radicals - Problem Set 9.4: 33

Answer

$-9-2\sqrt[]{6}$

Work Step by Step

Using the FOIL method and the properties of radicals, the given expression, $ (\sqrt[]{6}-5)(\sqrt[]{6}+3) ,$ simplifies to \begin{array}{l}\require{cancel} \sqrt[]{6}(\sqrt[]{6})+\sqrt[]{6}(3)-5(\sqrt[]{6})-5(3) \\\\= 6+3\sqrt[]{6}-5\sqrt[]{6}-15 \\\\= (6-15)+(3\sqrt[]{6}-5\sqrt[]{6}) \\\\= -9-2\sqrt[]{6} .\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.