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: 16

Answer

$-3\sqrt7$

Work Step by Step

$\sqrt{28}-5\sqrt{7}\longrightarrow$ factor the perfect square out of 28 =$\sqrt{4\times7}-5\sqrt7\longrightarrow$ multiplication property of square roots =$(\sqrt{4})(\sqrt7)-5\sqrt{7}\longrightarrow$ simplify =$2\sqrt7-5\sqrt7\longrightarrow$ use distributive property =$\sqrt7(2-5)\longrightarrow$ simplify =$-3\sqrt7$
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