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

question 36

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) \(\left\{ \frac { 11 + \sqrt { 69 } } { 8 } \right\}\)

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