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 - Page 30: 44

Answer

$(x^2+4)\sqrt{x}$

Work Step by Step

Factor each radicand so that one of the factors is a perfect square to obtain: $=\sqrt{16(x)} +\sqrt{x^4(x)} \\=\sqrt{4^2(x)}+\sqrt{(x^2)^2(x)}$ Simplify each radical to obtain: $=4\sqrt{x} + x^2\sqrt{x}$ Combine like radicals to obtain: $=(4+x^2)\sqrt{x} \\=(x^2+4)\sqrt{x}$
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