Answer
$\sqrt{5}-1$
Work Step by Step
Using the properties of radicals that we know, we simplify:
$(\sqrt{5}-2)(\sqrt{5}+3)=\sqrt{5}\sqrt{5}+3\sqrt{5}-2\sqrt{5}-6=5+\sqrt{5}-6=\sqrt{5}-1$
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: 38
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