To determine whether the sum \( 4.2 + \sqrt{36} \) is rational or irrational, we first evaluate each component.
- The number \( 4.2 \) is a rational number, as it can be expressed as the fraction \( \frac{42}{10} \).
- The square root of 36, \( \sqrt{36} \), is equal to 6, which is also a rational number.
Now, since both components (\( 4.2 \) and \( \sqrt{36} \)) are rational numbers, their sum \( 4.2 + 6 \) is also rational.
Therefore, the answer is \( 1 \) (for rational).