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 type of number that results from the product of \(\sqrt{36}\) and \(12\), let's first simplify \(\sqrt{36}\).

\[ \sqrt{36} = 6 \]

Now, we find the product:

\[ 6 \times 12 = 72 \]

Now we evaluate the type of number:

• 72 is a whole number and can also be classified as a rational number, because rational numbers include all integers (both positive and negative), fractions, and whole numbers.

Thus, the product of \(\sqrt{36}\) and \(12\) is a rational number.

So, the answer is rational.