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: 54

Answer

$0$

Work Step by Step

Simplify each radical when needed to obtain: $=\frac{1}{5}\sqrt{100(3)} -\frac{2}{3}\sqrt{9(3)} \\=\frac{1}{5}(10)\sqrt{3} -\frac{2}{3}(3)\sqrt{3} \\=2\sqrt{3}-2\sqrt{3} \\=(2 - 2)\sqrt{3} \\=0(\sqrt{3}) \\=0$
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