Answer
$34\sqrt2$
Work Step by Step
Simplify each radical when needed to obtain:
$=3\sqrt{9(2)} + 5\sqrt{25(2)}
\\=3(3)\sqrt{2} +5(5)\sqrt{2}
\\=9\sqrt{2}+25\sqrt{2}
\\=(9+25)\sqrt{2}
\\=34\sqrt{2}$
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: 51
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