Introductory Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-805-X
ISBN 13: 978-0-13417-805-9

Chapter 8 - Section 8.3 - Operations with Radicals - Exercise Set: 79

Answer

$9x\sqrt{3x}$

Work Step by Step

$5\sqrt{27x^3}-3x\sqrt{12x}$ Factor out perfect squares. $5\sqrt{(9)(3)(x^2)(x)}-3x\sqrt{(4)(3)(x)}$ Simplify. $(5)(3)(x)\sqrt{3x}-(3x)(2)\sqrt{3x}$ $15x\sqrt{3x}-6x\sqrt{3x}$ Subtract like radicals. $9x\sqrt{3x}$
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