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: 45

Answer

$(x+2)\sqrt[3]{x}$

Work Step by Step

Factor each radicand so that one of the factors is a perfect cube to obtain: $=\sqrt[3]{x^3(x)} +\sqrt[3]{8(x)} \\=\sqrt[3]{x^3(x)}+\sqrt[3]{(2^3)(x)}$ Simplify each radical to obtain: $=x\sqrt[3]{x} + 2\sqrt[3]{x}$ Combine like radicals to obtain: $=(x+2)\sqrt[3]{x}$
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