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A rational number is one that can be expressed as the ratio of two integers, for instance, 1/3, -5/3, 8 (which is equal to 8/1).

An irrational number can't be expressed as the ratio of two integers. It has been proven that the square root of 2 (as well as the square root of any positive integer that is not a perfect square) is irrational. Pi and e, two important numbers in mathematics, are also irrational. It has also been proven that there are more irrational than rational numbers.

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