Use the Square Root Property to Solve the Equation $( 3 x + 4 ) ^ { 2 } + 5 = 0$

Multiple Choice

Use the square root property to solve the equation.
$( 3 x + 4 ) ^ { 2 } + 5 = 0$

A) $\left\{ \frac { - 4 + i \sqrt { 5 } } { 3 } , \frac { - 4 - i \sqrt { 5 } } { 3 } \right\}$
B) $\left\{ \frac { \sqrt { 5 } + 4 } { 3 } , \frac { \sqrt { 5 } - 4 } { 3 } \right\}$
C) $\left\{ \frac { - 4 + \sqrt { 5 } } { 3 } , \frac { - 4 - \sqrt { 5 } } { 3 } \right\}$
D) $\left\{ - \frac { 9 } { 3 } , \frac { 1 } { 3 } \right\}$