# Irrational-number

**noun**, Mathematics.

1.

a number that cannot be exactly expressed as a ratio of two integers.

**noun**

1.

any real number that cannot be expressed as the ratio of two integers, such as π

irrational number

(ĭ-rāsh’ə-nəl)

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.

A number that cannot be expressed as the ratio of two whole numbers.

Note: The square roots of most whole numbers are irrational numbers.

Tagged: i

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[ih-ree-uh l, ih-reel] /ɪˈri əl, ɪˈril/ adjective 1. .

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[ir-i-buht-uh-buh l] /ˌɪr ɪˈbʌt ə bəl/ adjective 1. not rebuttable; incapable of being rebutted or refuted.

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[ir-i-kley-muh-buh l] /ˌɪr ɪˈkleɪ mə bəl/ adjective 1. not reclaimable; incapable of being reclaimed or rehabilitated: an irreclaimable swamp; irreclaimable offenders. /ˌɪrɪˈkleɪməbəl/ adjective 1. not able to be reclaimed