Simplify the Expression $$\frac { 1 } { \sqrt { 3 } } + \frac { 5 } { \sqrt { 27 } } - \frac { 3 } { \sqrt { 12 } }$$

question 481

Multiple Choice

Simplify the expression. Assume all variables represent positive real numbers.
- $$\frac { 1 } { \sqrt { 3 } } + \frac { 5 } { \sqrt { 27 } } - \frac { 3 } { \sqrt { 12 } }$$

• A) \(\frac { 1 } { 2 } \frac { 1 } { \sqrt { 3 } }\)
• B) \(\frac { 7 } { 18 } \sqrt { 21 }\)
• C) \(\frac { 7 } { 18 } \sqrt { 3 }\)
• D) \(- \frac { 1 } { 2 } \sqrt { 3 }\)

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Definitions:

Probability

A measure or estimation of how likely it is that an event will occur, expressed as a value between 0 and 1.

Formulas

Prescribed or established sets of mathematical or symbolic rules used to solve a problem or ascertain a truth.

Thematic Apperception

A psychological method and assessment tool where individuals express their thoughts and feelings through the stories they make up about ambiguous images.

Need for Achievement

A psychological trait that drives an individual to pursue and attain goals, often characterized by determination and ambition.