Answer
$-5\sqrt{3}$
Work Step by Step
Using the properties of radicals that we know, we simplify:
$(2\sqrt{12})-(3\sqrt{27})=2\sqrt{4*3}-3\sqrt{9*3}=2*2\sqrt{3}-3*3\sqrt{3}=4\sqrt{3}-9\sqrt{3}=(4-9)\sqrt{3}=-5\sqrt{3}$
College Algebra (10th Edition)
by Sullivan, Michael
Published by
Pearson
ISBN 10:
0321979478
ISBN 13:
978-0-32197-947-6
Chapter R - Section R.8 - nth Roots; Rational Exponents - R.8 Assess Your Understanding - Page 78: 36
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