Rationalize the Denominator and Simplify $\sqrt { \frac { 7 } { 18 x y ^ { 2 } } }$

question 276

Multiple Choice

Rationalize the denominator and simplify. Assume all variables represent nonnegative real numbers.
- $\sqrt { \frac { 7 } { 18 x y ^ { 2 } } }$

• A) \(\frac { 7 \sqrt { 2 x } } { 6 x y }\)
• B) \(\frac { \sqrt { 14 x } } { 6 x y }\)
• C) \(\frac { \sqrt { 14 x y } } { 6 x y }\)
• D) \(\frac { \sqrt { 14 } } { 6 y \sqrt { x } }\)

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Definitions:

First-order Polynomial

A mathematical expression of the form ax + b, where a and b are constants, and x is a variable.

Interaction

The effect that occurs when the impact of one variable on a response variable changes depending on the level of another variable in statistical models.

Straight Lines

The shortest distance between two points on a plane, characterized by an unchanging direction.

Coefficient of Determination

A statistical measure represented as \(R^2\) that shows the proportion of variance for a dependent variable explained by an independent variable or variables in a regression model.