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: 51

Answer

$34\sqrt2$

Work Step by Step

Simplify each radical when needed to obtain: $=3\sqrt{9(2)} + 5\sqrt{25(2)} \\=3(3)\sqrt{2} +5(5)\sqrt{2} \\=9\sqrt{2}+25\sqrt{2} \\=(9+25)\sqrt{2} \\=34\sqrt{2}$
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