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 - Chapter 5 Test: 14

Answer

$9\sqrt{2}$

Work Step by Step

Factor each radicand so that one of the factors is a perfect square: $=\sqrt{25(2)} + \sqrt{16(2)} \\=\sqrt{5^2(2)} + \sqrt{4^2(2)}$ Simplify each radical to obtain: $=5\sqrt{2} + 4\sqrt{2}$ Combine like terms to obtain: $=(5+4)\sqrt{2} \\=9\sqrt{2}$
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