Rationalize the Denominator and Simplify $\frac { 4 } { \sqrt { 6 } - 9 }$

Multiple Choice

Rationalize the denominator and simplify. Assume that all variables represent positive real numbers.
- $\frac { 4 } { \sqrt { 6 } - 9 }$

A) $\frac { 4 \sqrt { 6 } - 36 } { 75 }$
B) $- \frac { 4 \sqrt { 6 } - 36 } { 75 }$
C) $- \frac { 4 \sqrt { 6 } + 36 } { 75 }$
D) $\frac { 4 \sqrt { 6 } + 36 } { 75 }$