Answer
$11\sqrt3$
Work Step by Step
Simplify each radical when needed to obtain:
$=3\sqrt{25(3)} +2\sqrt{4(3)}-2\sqrt{16(3)}
\\=3(5)\sqrt{3} +2(2)\sqrt{3}-2(4)\sqrt{3}
\\=15\sqrt{3}+4\sqrt{3}-8\sqrt{3}
\\=(15+4-8)\sqrt{3}
\\=11\sqrt{3}$
Thinking Mathematically (6th Edition)
by Blitzer, Robert F.
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: 55
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