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.