To determine the type of number that results from the product of \( \sqrt{36} \) and 12, let's first calculate \( \sqrt{36} \).
\[
\sqrt{36} = 6
\]
Now, we can calculate the product of this result with 12:
\[
6 \times 12 = 72
\]
Now, we identify the type of number 72 is:
- **Rational numbers** are numbers that can be expressed as the quotient of two integers (like \( \frac{a}{b} \), where \( b \neq 0 \)).
- **Irrational numbers** cannot be expressed as a simple fraction.
- **Mixed numbers** are typically a whole number combined with a fraction.
- **Zero** is just the number 0.
Since 72 is a whole number and can be expressed as \( \frac{72}{1} \), it is classified as a **rational number**.
Thus, the product of \( \sqrt{36} \) and 12 will result in the type of number described by option **"rational."**