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 - 8.3 Multiplying and Dividing Radicals - 8.3 Exercises: 82

Answer

$10\sqrt {10}+14\sqrt {6b}$

Work Step by Step

Step 1: $8\sqrt {10}-4\sqrt {6b}+\sqrt {40}+9\sqrt {24b}$ Step 2: $8\sqrt {10}-4\sqrt {6b}+\sqrt {4\times10}+9\sqrt {4\times6b}$ Step 3: $8\sqrt {10}-4\sqrt {6b}+2\sqrt {10}+9(2)\sqrt {6b}$ Step 4: $8\sqrt {10}+2\sqrt {10}-4\sqrt {6b}+18\sqrt {6b}$ Step 5: $(8+2)\sqrt {10}+(-4+18)\sqrt {6b}$ Step 6: $10\sqrt {10}+14\sqrt {6b}$
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