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 Summary, Review, and Test - Review Exercises: 73

Answer

$7\sqrt2$

Work Step by Step

Simplify each radical to obtain: $=\sqrt{25(2)} + \sqrt{4(2)} \\=\sqrt{5^2(2)}+\sqrt{2^2(2)} \\=5\sqrt2 + 2\sqrt2 \\=\sqrt2(5+2) \\=\sqrt2(7) \\=7\sqrt2$
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