Multiply and Simplify, If Possible $2 \sqrt { 3 t } \left( 5 \sqrt { 3 t } + 2 \sqrt { 2 t ^ { 2 } } \right)$

question 310

Multiple Choice

Multiply and simplify, if possible. All variables represent positive real numbers. $2 \sqrt { 3 t } \left( 5 \sqrt { 3 t } + 2 \sqrt { 2 t ^ { 2 } } \right)$

• A) \(30 \sqrt { t } + 4 t \sqrt { 6 t }\)
• B) \(30 \sqrt { t ^ { 2 } } + 4 t \sqrt { 6 t }\)
• C) \(30 t + 4 t ^ { 2 } \sqrt { 6 }\)
• D) \(30 t + 4 t \sqrt { 6 t }\)
• E) \(30 t + 4 \sqrt { 6 t ^ { 3 } }\)

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Definitions:

Id, Ego

Components of Sigmund Freud's psychoanalytic theory where the id is the set of uncoordinated instinctual desires, and the ego is the organized, realistic part that mediates between the desires of the id and reality.

Superego

The part of a person's mind that acts as a self-critical conscience, reflecting social standards learned from parents and teachers.

Self-Report Tests

Psychological tests and questionnaires where individuals provide data about themselves, which can be subject to biases but are valuable for measuring perceptions, attitudes, and certain aspects of mental health.

Projective Measures

Psychological assessment tools that involve presenting ambiguous stimuli to subjects, whose responses are believed to reveal their unconscious desires, motives, or conflicts.