Answer
$19\sqrt2$
Work Step by Step
Simplify each radical when needed to obtain:
$=2\sqrt{36(2)} +3\sqrt{25(2)}-\sqrt{64(2)}
\\=2(6)\sqrt{2} +3(5)\sqrt{2}-8\sqrt{2}
\\=12\sqrt{2}+15\sqrt{2}-8\sqrt{2}
\\=(12+15-8)\sqrt{2}
\\=19\sqrt{2}$
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: 56
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