Solve the Radical Equation, and Check All Proposed Solutions $\sqrt { 2 \sqrt { x + 3 } } = \sqrt { 4 x - 5 }$

Multiple Choice

Solve the radical equation, and check all proposed solutions.
- $\sqrt { 2 \sqrt { x + 3 } } = \sqrt { 4 x - 5 }$

A) $\left\{ \frac { 11 - \sqrt { 69 } } { 8 } , \frac { 11 + \sqrt { 69 } } { 8 } \right\}$
B) $\left\{ \frac { 11 } { 2 } \right\}$
C) $\varnothing$
D) $\left\{ \frac { 11 + \sqrt { 69 } } { 8 } \right\}$