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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**.