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Intermediate Algebra

OPENSTAX

$Math Studyset 91影视 Explanations$ Math

OER 2017 Edition 路 1346 pages

ISBN: 9780998625720

Chapter 8: Q588 (page 857)

Simplify. Assume all variables are positive.
$\sqrt{27 x^{2}} - 4 x \sqrt{12} + \sqrt{108 x^{2}}$

Short Answer

Expert verified

The Solution is $x \sqrt{3}$

Step by step solution

01

The Given Information

An expression is $\sqrt{27 x^{2}} - 4 x \sqrt{12} + \sqrt{108 x^{2}}$

02

Simplifying

$= \sqrt{27 x^{2}} - 4 x \sqrt{12} + \sqrt{108 x^{2}} = \sqrt{9.3 . x^{2}} - 4 x \sqrt{3.4} + \sqrt{4.3.9 . x^{2}} = 3 x \sqrt{3} - 8 x \sqrt{3} + 6 x \sqrt{3} = x \sqrt{3}$

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