Rationalize the Denominator and Simplify $\frac { 2 } { 6 - \sqrt { 3 } }$

question 69

Multiple Choice

Rationalize the denominator and simplify. Assume that all variables represent positive real numbers.
- $\frac { 2 } { 6 - \sqrt { 3 } }$

• A) \(\frac { 12 + 2 \sqrt { 3 } } { - 3 }\)
• B) \(\frac { 12 - 2 \sqrt { 3 } } { 33 }\)
• C) \(\frac { 2 } { 6 } - \frac { 2 } { \sqrt { 3 } }\)
• D) \(\frac { 12 + 2 \sqrt { 3 } } { 33 }\)

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Definitions:

Scales of Measurement

A classification that describes the nature of information within the values assigned to variables in statistical analysis.

Ordinal

Relating to a categorical ranking in which the order of the values is significant, but the difference between them is not uniformly spaced.

Census

A complete enumeration or count of a population at a set point in time, gathering various demographic, social, and economic information.