To add \( \frac{5}{10} + \sqrt{10} \), we can simplify \( \frac{5}{10} \) first, which is equal to \( \frac{1}{2} \).
Thus, we need to calculate:
\[ \frac{1}{2} + \sqrt{10} \]
The answer isn't a simple fraction or radical that combines neatly, so let's reference the potential options you provided. The choices seem to be:
- \( \sqrt{25} \) (which is 5)
- \( \frac{6}{20} \) (which simplifies to \( \frac{3}{10} \))
- \( \sqrt{60} \)
- \( \frac{6}{10} \) (which simplifies to \( \frac{3}{5} \))
None of these options can directly equal \( \frac{1}{2} + \sqrt{10} \). These seem unrelated.
If you're looking for a numerical approximation for clarification:
\[ \sqrt{10} \approx 3.162 \] So, \[ \frac{1}{2} + \sqrt{10} \approx 0.5 + 3.162 = 3.662 \]
None of the provided options directly correspond to this result. If you meant something else or need further analysis, please clarify!
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