Evaluate the Expression $1 + \frac { \sqrt { - 36 } \cdot \sqrt { - 49 } i } { \sqrt { 21 } }$

Evaluate the expression $1 + \frac { \sqrt { - 36 } \cdot \sqrt { - 49 } i } { \sqrt { 21 } }$ and write the result in the form $a + b i$ .

A) $\sqrt { 21 } - 42 i$
B) $21 - 42 i$
C) $1 - 2 i \sqrt { 21 }$
D) $- \sqrt { 21 } + 42$
E) $- \sqrt { 21 } - 42 i$

Correct Answer:

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