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

36
and 12
1
2
? Enter the number that corresponds to the correct answer.
rational
irrational
mixed number
zero
(1 point)
The product of 36−−√
36
and 12
1
2
will result in the type of number described by Option #

1 answer

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

  1. Calculate \(\sqrt{36}\): \[ \sqrt{36} = 6 \]

  2. Now, calculate the product of \(6\) and \(12\): \[ 6 \times 12 = 72 \]

The result of the product is \(72\), which is a rational number.

Therefore, the correct answer is rational.

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