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 - Standardized Test Prep: 64

Answer

B

Work Step by Step

Factor out the perfect squares to simplify the expression. $2\sqrt {18}-\sqrt {32}+4\sqrt 8\longrightarrow$ factor out the perfect squares =$2(\sqrt{9\times2})-\sqrt{16\times2}+4\sqrt{4\times2}\longrightarrow$ multiplication property of square roots =$2(\sqrt9)(\sqrt2)-(\sqrt16)(\sqrt2)+4(\sqrt4)(\sqrt2)\longrightarrow$ simplify =$2(3)(\sqrt{2})-4\sqrt2+4(2)(\sqrt2)\longrightarrow$ multipluy =$6\sqrt2-4\sqrt2+8\sqrt2\longrightarrow$ distributive property =$\sqrt2(6-4+8)\longrightarrow$ simplify =$10\sqrt2$
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