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 #
.
Remaining Attempts : 3
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Answer 1

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

\[ \sqrt{36} = 6 \]

Now, we can calculate the product of this result with 12:

\[ 6 \times 12 = 72 \]

Now, we identify the type of number 72 is:

• Rational numbers are numbers that can be expressed as the quotient of two integers (like \( \frac{a}{b} \), where \( b \neq 0 \)).
• Irrational numbers cannot be expressed as a simple fraction.
• Mixed numbers are typically a whole number combined with a fraction.
• Zero is just the number 0.

Since 72 is a whole number and can be expressed as \( \frac{72}{1} \), it is classified as a rational number.

Thus, the product of \( \sqrt{36} \) and 12 will result in the type of number described by option "rational."