Answer
$6$
Work Step by Step
RECALL:
$(a+b)(a-b)=a^2-b^2$
Use the formula above with $a=3\sqrt2$ and $b=2\sqrt{3}$ to obtain:
$=(3\sqrt{2})^2- (2\sqrt{3})^2
\\=3^2(2) -2^2(3)
\\=9(2)-4(3)
\\=18-12
\\=6$
Intermediate Algebra for College Students (7th Edition)
by Blitzer, Robert F.
Published by
Pearson
ISBN 10:
0-13417-894-7
ISBN 13:
978-0-13417-894-3
Chapter 7 - Section 7.5 - Multiplying with More Than One Term and Rationalizing Denominators - Exercise Set - Page 550: 31
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