Solve the Radical Equation, and Check All Proposed Solutions $$\sqrt { 1 + 8 \sqrt { x } } = 1 + \sqrt { x }$$

Multiple Choice

Solve the radical equation, and check all proposed solutions.
- $$\sqrt { 1 + 8 \sqrt { x } } = 1 + \sqrt { x }$$

A) $\{ 0,100 \}$
B) $\left\{ 0 , \frac { 4 } { 7 } \right\}$
C) $\{ 0,64 \}$
D) $\{ 0,36 \}$