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: 17



Work Step by Step

$-6\sqrt{10}+5\sqrt{90}\longrightarrow$ factor the perfect square out of 90 =$-6\sqrt{10}+5\sqrt{9\times10}\longrightarrow$ multiplication property of square roots =$-6\sqrt{10}+5(\sqrt{9})(\sqrt{10})\longrightarrow$ simplify =$-6\sqrt{10}+5(3)(\sqrt{10})\longrightarrow$ multiply =$-6\sqrt{10}+15\sqrt{10}\longrightarrow$ use distributive property =$\sqrt{10}(-6+15)\longrightarrow$ simplify =$9\sqrt{10}$
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