College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter P, Prerequisites - Section P.4 - Rational Exponents and Radicals - P.4 Exercises: 41

Answer

$2\sqrt{5}$

Work Step by Step

Factor each radicand so that one of the factors is a perfect square to obtain: $=\sqrt{25(5)} -\sqrt{9(5)} \\=\sqrt{5^2(5)}-\sqrt{3^2(5)}$ Simplify each radical to obtain: $=5\sqrt{5} - 3\sqrt{5}$ Combine like radicals to obtain: $=(5-3)\sqrt{5} \\=2\sqrt{5}$
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