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Intermediate Algebra

OPENSTAX

$Math Studyset 91影视 Explanations$ Math

OER 2017 Edition 路 1346 pages

ISBN: 9780998625720

Chapter 8: Q582 (page 857)

Simplify using absolute values as necessary.
$\sqrt{\frac{45 x^{3} y^{4}}{180 x^{5} y^{2}}}$

Short Answer

Expert verified

The Solution is $\frac{y}{2 x}$

Step by step solution

The Given Information

An expression is $\sqrt{\frac{45 x^{3} y^{4}}{180 x^{5} y^{2}}}$

Simplifying

$= \sqrt{\frac{45 x^{3} y^{4}}{180 x^{5} y^{2}}} 45 脳 4 = 180 \frac{x^{3}}{x^{5}} = \frac{1}{x^{2}} \frac{y^{4}}{y^{2}} = \frac{y^{2}}{1} = \sqrt{\frac{y^{2}}{4 x^{2}}} = \frac{y}{2 x}$

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Simplify using absolute values as necessary.45x3y4180x5y2

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Simplify using absolute values as necessary.
$\sqrt{\frac{45 x^{3} y^{4}}{180 x^{5} y^{2}}}$