Answer: Choice A) Rational
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Reasoning:
Apply the rule that [tex]\sqrt{x}*\sqrt{x} = \left(\sqrt{x})^2 = x[/tex]
The squaring operation and square root operation cancel each other out. This is because they are inverses of one another.
For example, 7^2 = 49, and the square root of this leads back to 7.
Going back to the problem at hand, we can say, [tex]\sqrt{12}*\sqrt{12} = 12[/tex]
Then we can write that '12' at the end as 12/1. This is a ratio or fraction of integers, which makes the number rational.
Any rational number is of the form a/b, where a,b are integers and b is nonzero.
