Find the Quotient and Write in Rectangular Form $\frac { 2 \sqrt { 3 } + 2 i } { \sqrt { 3 } - i }$

Multiple Choice

Find the quotient and write in rectangular form. First convert the numerator and denominator to trigonometric form.
- $\frac { 2 \sqrt { 3 } + 2 i } { \sqrt { 3 } - i }$

A) $\sqrt { 3 } \mathrm { i }$
B) $\sqrt { 3 } + i$
C) $1 + \sqrt { 3 } i$
D) $\sqrt { 3 }$