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To determine the type of number that results from the product of \(\sqrt{36}\) and \(12\), let's first calculate the product.
1. Calculate \(\sqrt{36}\):
\[
\sqrt{36} = 6
\]
2. Now, calculate the product of \(6\) and \(12\):
\[
6 \times 12 = 72
\]
The result of the product is \(72\), which is a rational number.
Therefore, the correct answer is **rational**.