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The answer to this question confuses me. The square root of two is an irrational number, so obviously if the square root of two is squared it becomes two which is a rational number. Thinking of it that way then the answer is yes, the square of an irrational number can be a rational number. But . . .
You had to know beforehand that the irrational number was the square root of another number. If you start out with an irrational number such as Pi you cannot square it because you cannot know the entire number in order to square it.
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Is the square of a number irrational Always sometimes never?
The square of a rational number can be either rational or irrational. However, the square of an irrational number is always irrational.
Is the square root of 12.2 a rational number or irrational number?
irrational
Is the square root of 37 a rational or an irrational number?
It is an irrational number
Is the square root of 128 a rational number or an irrational number?
It is irrational.
Is the square root of 2 an irrational number or a rational number?
irrational
