Answer
$12\sqrt2$
Work Step by Step
Simplify each radical to obtain:
$=2\sqrt{9(2)} + 3\sqrt{4(2)}
\\=2\sqrt{3^2(2)}+3\sqrt{2^2(2)}
\\=2(3)\sqrt2 +3(2)\sqrt2
\\=6\sqrt2+6\sqrt2
\\=\sqrt2(6+6)
\\=\sqrt2(12)
\\=12\sqrt2$
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 - Chapter Summary, Review, and Test - Review Exercises - Page 335: 75
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