To find the sum of \(\frac{1}{6} + \sqrt{6}\), we need to calculate each term separately and then add them together.
\[ \frac{1}{6} \approx 0.1667 \]
\[ \sqrt{6} \approx 2.4495 \]
\[ \frac{1}{6} + \sqrt{6} \approx 0.1667 + 2.4495 = 2.6162 \]
\[ \boxed{2.6162} \]
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