Answer
$2\sqrt{3}$
Work Step by Step
Using the properties of radicals that we know, we simplify:
$(\sqrt{3}+3)(\sqrt{3}-1)=\sqrt{3}\sqrt{3}-\sqrt{3}+3\sqrt{3}-3
=3+2\sqrt{3}-3=2\sqrt{3}$
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: 37
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