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: 43

Answer

$(3a-1)\sqrt{a}$

Work Step by Step

Factor each radicand so that one of the factors is a perfect square to obtain: $=\sqrt{9a^2(a)} -\sqrt{a} \\=\sqrt{(3a)^2(a)}-\sqrt{a}$ Simplify each radical to obtain: $=3a\sqrt{a} - \sqrt{a}$ Combine like radicals to obtain: $=(3a-1)\sqrt{a}$
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