Simplify the expression without a calculator. $$\frac { - ( - 4 ) + \sqrt { ( - 4 ) ^ { 2 } - 4 ( 1 ) ( - 12 ) } } { 2 \cdot 1 }$$
A) 2
B) $-$ 8
C) 6
D) $- \frac { 1 } { 2 }$
E) $\frac { 1 } { 3 }$

Question

Quizplus · Accepted Answer

The expression simplifies as follows: $$ \frac { - ( - 4 ) + \sqrt { ( - 4 ) ^ { 2 } - 4 ( 1 ) ( - 12 ) } } { 2 \cdot 1 } = \frac { 4 + \sqrt { 16 + 48 } } { 2 } = \frac { 4 + \sqrt { 64 } } { 2 } = \frac { 4 + 8 } { 2 } = \frac { 12 } { 2 } = 6. $$

Simplify the Expression Without a Calculator −(−4)+(−4)2−4(1)(−12)2⋅1\frac { - ( - 4 ) + \sqrt { ( - 4 ) ^ { 2 } - 4 ( 1 ) ( - 12 ) } } { 2 \cdot 1 }2⋅1−(−4)+(−4)2−4(1)(−12)​​

Simplify the Expression Without a Calculator $\frac { - ( - 4 ) + \sqrt { ( - 4 ) ^ { 2 } - 4 ( 1 ) ( - 12 ) } } { 2 \cdot 1 }$