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: 38

Answer

$\sqrt{5}-1$

Work Step by Step

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