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To determine what type of number results from the product of \( \sqrt{36} \) and \( \frac{1}{2} \), let's first calculate \( \sqrt{36} \).
\[
\sqrt{36} = 6
\]
Now we can multiply \( 6 \) by \( \frac{1}{2} \):
\[
6 \times \frac{1}{2} = \frac{6}{2} = 3
\]
The result is \( 3 \), which is a rational number.
Therefore, the answer is:
**rational**.