To determine the type of number resulting from the sum of \( \frac{2}{3} \) and \( \sqrt{25} \), we can first evaluate \( \sqrt{25} \).
\[ \sqrt{25} = 5 \]
Next, we add \( \frac{2}{3} \) and \( 5 \):
\[ \frac{2}{3} + 5 \]
To add these two numbers, we need to express \( 5 \) as a fraction. We can write \( 5 \) as \( \frac{5 \times 3}{3} = \frac{15}{3} \).
Now we can add the two fractions:
\[ \frac{2}{3} + \frac{15}{3} = \frac{2 + 15}{3} = \frac{17}{3} \]
The fraction \( \frac{17}{3} \) is a rational number (since it is the ratio of two integers).
Thus, the result of the sum \( \frac{2}{3} + \sqrt{25} \) is a rational number.