To simplify the expression \( \sqrt{6} + \frac{2}{3} \), you can combine the two terms. However, since they are not like terms, you cannot combine them further.
Thus, the expression remains:
\[ \sqrt{6} + \frac{2}{3} \]
If you need a decimal approximation, you can calculate:
- \( \sqrt{6} \approx 2.449 \)
- Adding \( \frac{2}{3} \) (which is approximately 0.667):
\[ \sqrt{6} + \frac{2}{3} \approx 2.449 + 0.667 \approx 3.116 \]
So, the approximate decimal value is \( 3.116 \).