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irrational
Definition from Dictionary, a free dictionary
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Stephen LevineContents
English
Etymology
From ancient Greece circa 500 B.C. "Irrational" originally meant only that a number could not be expressed as a ratio. But for the pythagoreans it came to mean something threatening, a hint that their world view might not make sense, which is today the other meaning of "irrational".
Pronunciation
Adjective
irrational (comparative {{{1}}}, superlative {{{2}}})
Positive 
Comparative 
Superlative 
 Not rational; unfounded or nonsensical.
 an irrational decision
 (mathematics) (no comparative or superlative) Of a real number, that cannot be written as the ratio of two integers.
 The number π is irrational.
Derived terms
Translations
unfounded or nonsensical


mathematics: of a number


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Translations to be checked

Noun
Singular 
Plural 
 A real number that can not be expressed as the quotient of two integers, an irrational number.
 the quotient of two irrationals a and b is a rational if and only if there is an integer n>0 and an integer m such that a*n = b*m
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