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: 13



Work Step by Step

$3\sqrt7-\sqrt{63}\longrightarrow$ factor the perfect square out of 63 =$3\sqrt7-\sqrt{9\times7}\longrightarrow$ multiplication property of square roots =$3\sqrt7-(\sqrt{9}\times\sqrt7)\longrightarrow$ simplify =$3\sqrt7-3\sqrt7\longrightarrow$ use distributive property =$\sqrt7(3-3)\longrightarrow$ simplify =$0\sqrt7\longrightarrow$ the product of any number and 0 is 0 =0
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