Algebra 1

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

Chapter 10 - Radical Expressions and Equations - Mid-Chapter Quiz: 24

Answer

$\sqrt7$

Work Step by Step

$2\sqrt{28}-3\sqrt7\longrightarrow$ factor out the perfect square =$2\sqrt{4\times7}-3\sqrt7\longrightarrow$ multiplication property of square roots =$2\times\sqrt4\times\sqrt7-3\sqrt7\longrightarrow$ simplify =$4\sqrt7-3\sqrt7\longrightarrow$ distributive property =$\sqrt7(4-3)\longrightarrow$ subtract =$\sqrt7$
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