Question

Is √12 • √12 rational or Irrational?

Answer 1

Answer: Choice A)  Rational

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Reasoning:

Apply the rule that $\sqrt{x}*\sqrt{x} = \left(\sqrt{x})^2 = x$

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, $\sqrt{12}*\sqrt{12} = 12$

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.

Answer 2

It’s rational because if you multiply 12 it will give you 144 and you can simply it to 12 it’s it rational