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 - Concept and Vocabulary Check - Page 295: 7

Answer

$\\=\underline{5}\sqrt2+\underline{4}\sqrt2 \\=\underline{9\sqrt2}$

Work Step by Step

We use the properties of radicals that we know to simplify. $\sqrt{25}\cdot \sqrt2 + \sqrt{16} \cdot \sqrt2 \\=5\sqrt2+4\sqrt2 \\=9\sqrt2$
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