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To determine the product of \( \sqrt{36} \) and \( 12 \), we first calculate \( \sqrt{36} \).
\[
\sqrt{36} = 6
\]
Now, we multiply this result by \( 12 \):
\[
6 \times 12 = 72
\]
The number \( 72 \) is a rational number because it can be expressed as a fraction (for example, \( \frac{72}{1} \)).
Therefore, the product of \( \sqrt{36} \) and \( 12 \) will result in a **rational** number.
**Final Answer:** rational