Rationalize the Denominator and Simplify $\frac { 5 \sqrt { 2 } + \sqrt { 14 } } { 5 \sqrt { 2 } - \sqrt { 14 } }$

Multiple Choice

Rationalize the denominator and simplify. Assume that all variables represent positive real numbers.
- $\frac { 5 \sqrt { 2 } + \sqrt { 14 } } { 5 \sqrt { 2 } - \sqrt { 14 } }$

A) $\frac { 64 + 10 \sqrt { 28 } } { 36 }$
B) $\frac { 32 + 10 \sqrt { 7 } } { 18 }$
C) $\frac { 64 + 20 \sqrt { 7 } } { 36 }$
D) $\frac { 16 + 5 \sqrt { 7 } } { 9 }$