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: 18

Answer

$-\sqrt3$

Work Step by Step

$3\sqrt3-2\sqrt{12}\longrightarrow$ factor the perfect square out of 12 =$3\sqrt3-2\sqrt{4\times3}\longrightarrow$ multiplication property of square roots =$3\sqrt3-2(\sqrt{4})(\sqrt3)\longrightarrow$ simplify =$3\sqrt3-2(2)(\sqrt3)\longrightarrow$ multiply =$3\sqrt3-4\sqrt3\longrightarrow$ use distributive property =$\sqrt3(3-4)\longrightarrow$ simplify =$-\sqrt3$
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