Question

What type of number will result from the product of 36−−√36 and 1212? Enter the number that corresponds to the correct answer. rational irrational mixed number zero (1 point) The product of 36−−√36 and 1212 will result in the type of number described by Option #.

Answer 1

To determine the type of number resulting from the product of \(\sqrt{36}\) and \(1212\), we first calculate \(\sqrt{36}\).

\[
\sqrt{36} = 6
\]

Next, we find the product:

\[
6 \times 1212 = 7272
\]

Now, we analyze the result, \(7272\). It is a whole number, which means it is a type of rational number.

Since \(7272\) is rational (it can be expressed as \(\frac{7272}{1}\)), we conclude that the product of \(\sqrt{36}\) and \(1212\) is a rational number.

Thus, the answer is:

**rational**