To find the sum of one-sixth and the square root of 6, we can express this mathematically as:
\[ \frac{1}{6} + \sqrt{6} \]
First, we calculate the value of \(\sqrt{6}\):
\[ \sqrt{6} \approx 2.44949 \]
Next, we calculate \(\frac{1}{6}\):
\[ \frac{1}{6} \approx 0.16667 \]
Now, we add the two values:
\[ \frac{1}{6} + \sqrt{6} \approx 0.16667 + 2.44949 \approx 2.61616 \]
Thus, the sum \( \frac{1}{6} + \sqrt{6} \) is approximately 2.61616.
The answer is closest to:
2.6161564...