Irrational-number meaning

ĭ-răshə-nəl
A real number that cannot be expressed as a ratio between two integers.
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(mathematics) Any real number that cannot be expressed as a ratio of two integers.

The square root of a positive integer is an irrational number unless the positive integer is a perfect square, in which case the square root will also be a positive integer.

noun
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A number that cannot be expressed as a ratio between two integers and is not an imaginary number. If written in decimal notation, an irrational number would have an infinite number of digits to the right of the decimal point, without repetition. Pi and the square root of 2 (√2) are irrational numbers.
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