Answer
$2\sqrt 3$
Work Step by Step
To simplify the expression, we distribute (FOIL) and combine the like terms as follows:
$$
(\sqrt 3+3)(\sqrt 3-1)=(\sqrt 3)^2-\sqrt 3+3\sqrt 3-3\\
=3+2\sqrt 3-3=2\sqrt 3
.$$
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)
by Sullivan III, Michael
Published by
Pearson
ISBN 10:
0-32193-104-1
ISBN 13:
978-0-32193-104-7
Appendix A - Review - A.7 nth Roots; Rational Exponents - A.7 Assess Your Understanding - Page A60: 31
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