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: 15

Answer

$-12b\sqrt b$

Work Step by Step

$-2\sqrt{3b^2}\times\sqrt{12b}\longrightarrow$ factor the radicands =$-2\sqrt{b^2\times3}\times\sqrt{3\times4\times b}\longrightarrow$ multiplication property of square roots =$-2\times\sqrt {b^2} \times(\sqrt 3\times\sqrt3)\times\sqrt4\times\sqrt b\longrightarrow$ simplify =$-2\times b\times 3\times2\times\sqrt b\longrightarrow$ simplify =$-12b\sqrt b$
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