Question

What type of number will result from the product of
square root 36

​
and
2
1
​
?"

The multiple-choice answers provided are:

rational

irrational

mixed number

zero

Answer 1

To find the type of number that results from the product of \(\sqrt{36}\) and \(21\), we first need to evaluate \(\sqrt{36}\).

\[
\sqrt{36} = 6
\]

Next, we multiply \(6\) by \(21\):

\[
6 \times 21 = 126
\]

Now, we need to determine the type of number \(126\) is.

- Rational numbers are numbers that can be expressed as a fraction of two integers.
- Irrational numbers cannot be expressed as a fraction of two integers.
- Mixed numbers are a combination of a whole number and a fractional part.
- Zero is simply the number \(0\).

Since \(126\) is an integer, it is also a rational number.

Therefore, the answer is:

**rational**