Simplify the Expression Without a Calculator $$\frac { - 6 + \sqrt { 6 ^ { 2 } - 4 ( 8 ) ( - 2 ) } } { 2 ( 8 ) }$$

Multiple Choice

Simplify the expression without a calculator. $$\frac { - 6 + \sqrt { 6 ^ { 2 } - 4 ( 8 ) ( - 2 ) } } { 2 ( 8 ) }$$

A) 2
B) $\frac { 1 } { 8 }$
C) $- \frac { 1 } { 8 }$
D) $- \frac { 1 } { 4 }$
E) $\frac { 1 } { 4 }$