Answer
$-1+\sqrt 5$
Work Step by Step
To simplify the expression, we distribute (FOIL) and combine the like terms as follows:
$$
(\sqrt 5-2)(\sqrt 5+3)=(\sqrt 5)^2+3\sqrt 5-2\sqrt 5-6\\
=5+\sqrt 5-6=-1+\sqrt 5
.$$
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: 32
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