Algebra and Trigonometry 10th Edition

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

Prerequisites - Review Exercises - Page 63: 47


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

Work Step by Step

(a) $\sqrt {12x^3}+\sqrt {3x}=\sqrt {2^2(3)x^2x}+\sqrt {3x}=2x\sqrt {3x}+\sqrt {3x}=(2x+1)\sqrt {3x}$ (b) $\sqrt {27x^3}-\sqrt {3x^3}=\sqrt {3^2(3)x^2x}-\sqrt {3x^2x}=3x\sqrt {3x}-x\sqrt {3x}=2x\sqrt {3x}$
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