To find the sum of \( \frac{3}{4} \) and \( \sqrt{10} \), we can express the sum as:
\[ \frac{3}{4} + \sqrt{10} \]
Since \( \sqrt{10} \) is an irrational number, the sum will still be expressed in a form that includes both a rational and an irrational part. There is no further simplification possible in this case, so the result remains:
\[ \frac{3}{4} + \sqrt{10} \]
If you need a numerical approximation, you can calculate \( \sqrt{10} \) (which is approximately \( 3.1623 \)). Thus:
\[ \frac{3}{4} \approx 0.75 \] \[ \frac{3}{4} + \sqrt{10} \approx 0.75 + 3.1623 \approx 3.9123 \]
So, the final answer is:
\[ \frac{3}{4} + \sqrt{10} \quad \text{(exact form)} \] or approximately \[ 3.9123 \quad \text{(numerical approximation)} \]