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 - Page 80: 106


$2x(3x+4)^{1/3}(5x+4) =2x\sqrt[3]{3x+4}(5x+4)$

Work Step by Step

We simplify: $2x(3x+4)^{4/3}+x^{2}\cdot 4(3x+4)^{1/3} =2x(3x+4)^{1/3}[(3x+4)^{3/3}+2x] =2x(3x+4)^{1/3}[(3x+4)+2x] =2x(3x+4)^{1/3}(5x+4) =2x\sqrt[3]{3x+4}(5x+4)$
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