Rationalize the Denominator $\frac { \sqrt { x } - \sqrt { y } } { \sqrt { 6 x } + \sqrt { 7 y } }$

question 49

Multiple Choice

Rationalize the denominator. Assume that all variables represent nonnegative numbers and that the denominator is not
zero.
- $\frac { \sqrt { x } - \sqrt { y } } { \sqrt { 6 x } + \sqrt { 7 y } }$

• A) \(\frac { x \sqrt { 6 } - \sqrt { 7 x y } - \sqrt { 6 x y } + y \sqrt { 7 } } { 6 x - 7 y }\)
• B) \(\frac { \sqrt { 6 x } - \sqrt { 13 x y } + \sqrt { 7 y } } { 6 x - 7 y }\)
• C) \(\frac { \sqrt { 6 x } - \sqrt { 13 x y } + \sqrt { 7 y } } { 6 x + 7 y }\)
• D) \(\frac { x \sqrt { 6 } - \sqrt { 7 x y } - \sqrt { 6 x y } + y \sqrt { 7 } } { 6 x + 7 y }\)

---

Definitions:

Competencies

A combination of skills, knowledge, and behaviors that are critical in performing tasks effectively.

Sustainable Development

Development that meets the needs of the present without compromising the ability of future generations to meet their own needs, emphasizing environmental, economic, and social sustainability.

Global Corporations

Large companies that operate and provide services or products in multiple countries around the world.

Geert Hofstede's Framework

A model that identifies and analyzes five dimensions of cultural differences across countries, which are power distance, individualism vs. collectivism, masculinity vs. femininity, uncertainty avoidance, and long-term orientation.