Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Prerequisites - Review Exercises - Page 63: 48


(a) $(2x+1)\sqrt {2x}$ (b) $(3x^2-2x)\sqrt {2x}$

Work Step by Step

(a) $\sqrt {8x^3}+\sqrt {2x}=\sqrt {2^2(2)x^2x}+\sqrt {2x}=2x\sqrt {2x}+\sqrt {2x}=(2x+1)\sqrt {2x}$ (b) $\sqrt {18x^5}-\sqrt {8x^3}=\sqrt {3^2(2)(x^2)^2x}-\sqrt {2^2(2)x^2x}=3x^2\sqrt {2x}-2x\sqrt {2x}=(3x^2-2x)\sqrt {2x}$
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