Thinking Mathematically (6th Edition)

Published by Pearson
ISBN 10: 0321867327
ISBN 13: 978-0-32186-732-2

Chapter 5 - Number Theory and the Real Number System - 5.4 The Irrational Numbers - Exercise Set 5.4 - Page 296: 56



Work Step by Step

Simplify each radical when needed to obtain: $=2\sqrt{36(2)} +3\sqrt{25(2)}-\sqrt{64(2)} \\=2(6)\sqrt{2} +3(5)\sqrt{2}-8\sqrt{2} \\=12\sqrt{2}+15\sqrt{2}-8\sqrt{2} \\=(12+15-8)\sqrt{2} \\=19\sqrt{2}$
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