College Algebra (10th Edition)

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: 37

Answer

$2\sqrt{3}$

Work Step by Step

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