To determine the type of number that results from the product of √36 and 1/2, let's calculate it step by step.
1. First, calculate √36:
\[
\sqrt{36} = 6
\]
2. Next, multiply 6 by 1/2:
\[
6 \times \frac{1}{2} = \frac{6}{2} = 3
\]
Now, we need to identify the type of number that 3 represents.
- **Rational**: A number that can be expressed as a fraction of two integers. (3 can be expressed as 3/1)
- **Irrational**: A number that cannot be expressed as a fraction of two integers.
- **Mixed number**: A whole number combined with a fraction (3 is not a mixed number).
- **Zero**: The number 0.
Since 3 is a whole number and can be expressed as a fraction of integers, it is classified as a rational number.
Thus, the product of √36 and 1/2 will result in the type of number described by **Option # rational**.