Find the maximum of
\[\sqrt{x + 27} + \sqrt{13 - x} + \sqrt{x}\]for $0 \le x \le 13.$
Question:
Find the maximum of
\[\sqrt{x + 27} + \sqrt{13 - x} + \sqrt{x}\]for $0 \le x \le 13.$
Answer:
Let's think step by step.

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11
Find the maximum of
\[\sqrt{x + 27} + \sqrt{13 - x} + \sqrt{x}\]for $0 \le x \le 13.$
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