Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Chapter 10 - Radical Expressions and Equations - 10-3 Operations with Radial Expressions - Practice and Problem-Solving Exercises - Page 616: 22



Work Step by Step

$\sqrt5(\sqrt{15}-3)\longrightarrow$ use the distributive property =$(\sqrt5)(\sqrt{15})-(\sqrt5)(3)\longrightarrow$ multiplication property of square roots =$\sqrt{75}-3\sqrt5\longrightarrow$ factor the perfect square out of 75 =$\sqrt{25\times3}-3\sqrt5\longrightarrow$ multiplication property of square roots =$(\sqrt{25})(\sqrt3)-3\sqrt5\longrightarrow$ simplify =$5\sqrt3-3\sqrt5$
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.