Intermediate Algebra: Connecting Concepts through Application

Published by Brooks Cole
ISBN 10: 0-53449-636-9
ISBN 13: 978-0-53449-636-4

Chapter 8 - Radical Functions - 8.2 Simplifying, Adding, and Subtracting Radicals - 8.2 Exercises - Page 634: 64

Answer

$\color{blue}{4\sqrt{11b}-12a\sqrt{5}}$

Work Step by Step

Combine like terms to obtain: $=(\sqrt{11b}+3\sqrt{11b})+(3a\sqrt{5}-15a\sqrt{5}) \\=(1+3)\sqrt{11b}+(3-15)a\sqrt{5} \\=\color{blue}{4\sqrt{11b}-12a\sqrt{5}}$
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