To find 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 result, 72, is a rational number.
Thus, the type of number resulting from the product of \( \sqrt{36} \) and 12 is rational.