Rationalize the Denominator and Simplify $\frac { 5 } { 7 - \sqrt { 5 } }$

question 128

Multiple Choice

Rationalize the denominator and simplify.
- $\frac { 5 } { 7 - \sqrt { 5 } }$

• A) \(\frac { 35 + 5 \sqrt { 5 } } { - 2 }\)
• B) \(\frac { 35 + 5 \sqrt { 5 } } { 44 }\)
• C) \(\frac { 35 - 5 \sqrt { 5 } } { 44 }\)
• D) \(\frac { 5 } { 7 } - \frac { 5 } { \sqrt { 5 } }\)

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Definitions:

Free Association

A therapeutic technique in psychoanalysis where the patient voices their thoughts without reservation, revealing unconscious thoughts and feelings.

Analytic Thinking

The process of evaluating and dissecting complex problems or concepts to understand their components and derive conclusions.

Structural Model

An abstract representation that illustrates the framework of an object, system, or concept, detailing the arrangement and interaction of its parts.

Ego

The part of the mind that mediates between the conscious and the unconscious and is responsible for reality testing and a sense of personal identity.