Simplify the Expression $$2 x \sqrt { 3 x - 4 } + x ^ { 2 } \left( \frac { 1 } { 4 } \right) \frac { 1 } { \sqrt { 3 x - 4 } } ( 4 )$$

question 191

Multiple Choice

Simplify the expression. Do not rationalize the denominator.
- $$2 x \sqrt { 3 x - 4 } + x ^ { 2 } \left( \frac { 1 } { 4 } \right) \frac { 1 } { \sqrt { 3 x - 4 } } ( 4 )$$

• A) \(\frac { 7 x ^ { 2 } - 8 } { \sqrt { 3 x - 4 } }\)
• B) \(\frac { x ( 7 x - 4 ) } { \sqrt { 3 x - 4 } }\)
• C) \(\frac { x ( 7 x - 8 ) } { \sqrt { 3 x - 4 } }\)
• D) \(\frac { 7 x ^ { 2 } - 4 } { \sqrt { 3 x - 4 } }\)

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Definitions:

Post Hoc

Short for post hoc ergo propter hoc, a logical fallacy implying that since one event follows another, the first event must be the cause of the second.

Fallacy

A deceptive, misleading, or false notion or argument, often used in the context of logical reasoning or debate.

Occurred

An event or action that took place or happened, usually at a specific time and place.

False Alternative

A logical fallacy that presents a limited set of options when, in fact, more options exist.