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: 20

Answer

$22\sqrt2$

Work Step by Step

$5\sqrt8+2\sqrt{72}\longrightarrow$ factor the perfect squares out of 8 and 72 =$5\sqrt{4\times2}+2\sqrt{36\times2}\longrightarrow$ multiplication property of square roots =$5(\sqrt{4})(\sqrt2)+2(\sqrt{36})(\sqrt2)\longrightarrow$ simplify =$5(2)(\sqrt2)+2(6)(\sqrt2)\longrightarrow$ multiply =$10\sqrt2+12\sqrt2\longrightarrow$ use distributive property =$\sqrt2(10+12)\longrightarrow$ simplify =$22\sqrt2$
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