What type of number will result from the product of 36−−√

and 12
? Enter the number that corresponds to the correct answer.

rational
irrational
mixed number
zero
(1 point)
The product of 36−−√
and 12
will result in the type of number described by Option #
.

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
2 months ago

To determine the product of \( \sqrt{36} \) and \( 12 \), we first calculate \( \sqrt{36} \).

\[
\sqrt{36} = 6
\]

Now, we multiply this result by \( 12 \):

\[
6 \times 12 = 72
\]

The number \( 72 \) is a rational number because it can be expressed as a fraction (for example, \( \frac{72}{1} \)).

Therefore, the product of \( \sqrt{36} \) and \( 12 \) will result in a **rational** number.

**Final Answer:** rational