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: 14

Answer

$47\sqrt2$

Work Step by Step

$4\sqrt{128}+5\sqrt{18}\longrightarrow$ factor the perfect squares out of 128 and 18 =$4\sqrt{64\times2}+5\sqrt{9\times2}\longrightarrow$ multiplication property of square roots =$4(\sqrt{64})(\sqrt2)+5(\sqrt{9})(\sqrt2)\longrightarrow$ simplify =$4(8)(\sqrt2)+5(3)(\sqrt2)\longrightarrow$ multiply =$32\sqrt2+15\sqrt2\longrightarrow$ use distributive property =$\sqrt2(32+15)\longrightarrow$ simplify =$47\sqrt2$
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