Simplify by Rationalizing the Denominator $\frac { \sqrt { x } - 20 } { \sqrt { x } + \sqrt { 6 } }$

question 274

Multiple Choice

Simplify by rationalizing the denominator.
- $\frac { \sqrt { x } - 20 } { \sqrt { x } + \sqrt { 6 } }$

• A) \(\frac { \sqrt { 6 x } + 20 \sqrt { x } - 20 \sqrt { 6 } } { 6 }\)
• B) \(\frac { x - \sqrt { 6 x } - 20 \sqrt { x } + 20 \sqrt { 6 } } { x - 6 }\)
• C) \(\frac { x - 26 \sqrt { x } + 20 \sqrt { 6 } } { x - 6 }\)
• D) \(\frac { - 20 \sqrt { 6 } } { 6 }\)

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Definitions:

Centralized World

A global system in which political, economic, or cultural power is concentrated in a few central locations or authorities.

Individual Freedom

The liberty of an individual to act, speak, or think without hindrance or restraint, subject to the laws and social norms.

Moral Cohesion

The unity or bond formed within a society or group based on shared ethical values and moral beliefs.

Iron Cage

Max Weber's metaphor for the increased rationalization inherent in social life, particularly in Western capitalist societies, leading to individuals feeling trapped by bureaucracies and rigid rules.