Rationalize the Denominator $\frac { 5 - \sqrt { 2 } } { 5 + \sqrt { 2 } }$

question 216

Multiple Choice

Rationalize the denominator. Assume that all variables represent nonnegative numbers and that the denominator is not
zero.
- $\frac { 5 - \sqrt { 2 } } { 5 + \sqrt { 2 } }$

• A) \(\frac { 27 - 10 \sqrt { 2 } } { 23 }\)
• B) \(- 1\)
• C) \(\frac { 23 - 10 \sqrt { 2 } } { 27 }\)
• D) \(\frac { 27 + 10 \sqrt { 2 } } { 23 }\)

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Definitions:

Universal Grammar

A similar underlying structure shared by all the world’s languages, according to linguist Noam Chomsky.

Noam Chomsky

An influential thinker in linguistics and cognitive science, known for his theory of generative grammar and critique of behaviorism.

Linguistic-Relativity Hypothesis

A theory suggesting that language influences and shapes our cognitive abilities and the way we perceive and understand the world.

Cultural Perception

The way individuals interpret and understand phenomena through the lens of their own culture, including beliefs, values, and norms.