To determine the type of number that results from the product of \(\sqrt{36}\) and \(12\), let's first calculate the product.
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Calculate \(\sqrt{36}\): \[ \sqrt{36} = 6 \]
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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.