Find the sum of all real solutions to the equation \[\sqrt{x} + \sqrt{\frac{4}{x}} + \sqrt{x + \frac{4}{x}} = 6.\]
Question:
Find the sum of all real solutions to the equation \[\sqrt{x} + \sqrt{\frac{4}{x}} + \sqrt{x + \frac{4}{x}} = 6.\]
Answer:
Let's think step by step.

user
\frac{64}{9}
Find the sum of all real solutions to the equation \[\sqrt{x} + \sqrt{\frac{4}{x}} + \sqrt{x + \frac{4}{x}} = 6.\]
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