Rationalize the Denominator and Simplify $\sqrt [ 3 ] { \frac { 4 } { 9 x ^ { 2 } } }$

question 18

Multiple Choice

Rationalize the denominator and simplify. Assume all variables represent nonnegative real numbers.
- $\sqrt [ 3 ] { \frac { 4 } { 9 x ^ { 2 } } }$

• A) \(\frac { \sqrt [ 3 ] { 324 x } } { 81 }\)
• B) \(\frac { \sqrt [ 3 ] { 36 x } } { 9 x }\)
• C) \(\frac { \sqrt [ 3 ] { 324 x ^ { 2 } } } { 9 x }\)
• D) \(\frac { \sqrt [ 3 ] { 12 x } } { 3 x }\)

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Definitions:

Ego

In psychoanalytic theory, the part of the psyche that mediates between the instinctual desires of the id, the moral and social demands of the superego, and reality.

Rule-Oriented

Pertains to systems, behaviors, or activities that are governed by a specific set of rules or protocols.

Moral

Being related to principles of right and wrong behavior, moral often refers to the ethical judgments and actions considered acceptable by a society or individual.

Ethical

Relating to moral principles or the branch of knowledge dealing with these, often guiding conduct in personal and professional contexts.