Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

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

Answer

$2\sqrt 3$

Work Step by Step

To simplify the expression, we distribute (FOIL) and combine the like terms as follows: $$ (\sqrt 3+3)(\sqrt 3-1)=(\sqrt 3)^2-\sqrt 3+3\sqrt 3-3\\ =3+2\sqrt 3-3=2\sqrt 3 .$$
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