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: 44

Answer

$(2+x)\sqrt[4]{2x}$

Work Step by Step

We simplify: $\displaystyle \sqrt[4]{32x}+\sqrt[4]{2x^5}=\sqrt[4]{16*2x}+\sqrt[4]{2x^4x}=2\sqrt[4]{2x}+x\sqrt[4]{2x}=(2+x)\sqrt[4]{2x}$
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