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: 53

Answer

$-\frac{3\sqrt3}{2}$

Work Step by Step

Simplify each radical when needed to obtain: $=\frac{1}{4}\sqrt{4(3)} -\frac{1}{2}\sqrt{16(3)} \\=\frac{1}{4}(2)\sqrt{3} -\frac{1}{2}(4)\sqrt{3} \\=\frac{1}{2}\sqrt{3}-2\sqrt{3} \\=(\frac{1}{2} - 2)\sqrt{3} \\=-\frac{3}{2}\sqrt{3}$
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