Simplify the Expression $$\frac { 4 } { \sqrt [ 3 ] { 2 } } - \frac { 31 } { \sqrt [ 3 ] { 16 } } + \frac { 1 } { \sqrt [ 3 ] { 54 } }$$

question 597

Multiple Choice

Simplify the expression. Assume all variables represent positive real numbers.
- $$\frac { 4 } { \sqrt [ 3 ] { 2 } } - \frac { 31 } { \sqrt [ 3 ] { 16 } } + \frac { 1 } { \sqrt [ 3 ] { 54 } }$$

• A) \(- \frac { 67 } { 12 } \sqrt [ 3 ] { 4 }\)
• B) \(- \frac { 35 } { 6 } \sqrt [ 3 ] { 4 }\)
• C) \(- \frac { 77 } { 12 } \sqrt [ 3 ] { 2 }\)
• D) \(\frac { 65 } { 12 } \sqrt [ 3 ] { 2 }\)

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Definitions:

Time Urgency

The feeling of being under constant pressure to act quickly or complete tasks in a limited timeframe, often associated with stress.

Competitive

Characterized by or involving competition; striving to gain or win something by defeating or establishing superiority over others.

Hardy Personality

A personality trait characterized by resilience and the capability to thrive in the face of stress and adversity, linked to positive coping mechanisms and attitudes.

Type A Personality

A temperament characterized by high levels of ambition, aggression, competitiveness, drive, impatience, need for control, focus on time management, and stress.