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(mathematics) Any real number that cannot be expressed as a ratio of two integers.

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irrational number

The discovery that the square root of 2 is an irrational number challenged the Pythagoreans' belief that all numbers could be expressed as ratios of integers.

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The discovery that the square root of 2 is an irrational number challenged the Pythagoreans' belief that all numbers could be expressed as ratios of integers.

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