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

Question

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 #
.

Answer 1

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