irrational

English

Etymology

From Latin irratiōnālis, from ir- + ratiōnālis.

Pronunciation

• enPR: ĭră'sh(ə)nəl, IPA: /ɪˈræʃ.(ə.)nəl/, SAMPA: /I"r{S.(@.)n@l/

Adjective

irrational (comparative more irrational, superlative most irrational)

1. Not rational; unfounded or nonsensical.

   an irrational decision

2. (mathematics, arithmetic, number theory, not comparable) Of a real number, that cannot be written as the ratio of two integers.

   The number π is irrational.

Antonyms

• (mathematics): rational

Hyponyms

• (mathematics): transcendental

Derived terms

• irrational number

Translations

unfounded or nonsensical

Armenian: իռացիոնալ (hy) (iṙac’ional) Catalan: bèstia (ca), irracional (ca) Croatian: iracionalan (hr) m., nerazuman (hr) m. Danish: irrationel (da) Dutch: irrationeel, irrationele, onzinnig, onzinnige, onredelijk, onredelijke Finnish: epälooginen (fi), irrationaalinen (fi) French: irrationnel (fr) German: irrational (de) Hungarian: ésszerűtlen (hu), irracionális (hu)

Japanese: 不合理 (fugōri) Korean: 불합리한 (ko) Norwegian: irrasjonell (no) Polish: nieracjonalny, irracjonalny m. Romanian: irațional (ro) m. and n., nerațional (ro) m. and n. Russian: иррациональный (ru) (irracional'nyj) Swedish: irrationell (sv) Telugu: అసంబద్ధము (asaMbaddhamu)

mathematics: of a number

Armenian: իռացիոնալ (hy) (iṙac’ional) Catalan: irracional (ca) Czech: iracionální (cs) Danish: irrational (da) Dutch: irrationaal, irrationale Esperanto: nereala Finnish: irrationaalinen (fi) French: irrationnel (fr) m., irrationnelle (fr) f.

German: irrational (de) Greek: άρρητος (el) Hungarian: irracionális (hu) Icelandic: óræður (is) m. Japanese: 無理数 (murisū) Korean: 무리수 (ko) Polish: niewymierny m. Swedish: irrationell (sv)

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Translations to be checked

Indonesian: irasional, tak masuk akal

Noun

irrational (plural irrationals)

1. A real number that can not be expressed as the quotient of two integers, an irrational number.
   • 1946, Bertrand Russell, History of Western Philosophy, I.24:

     The square root of 2, which was the first irrational to be discovered, was known to the early Pythagoreans, and ingenious methods of approximating to its value were discovered.

Translations

translations

Icelandic: óræð tala (is) f. Korean: 무리수 (ko)

Polish: liczba niewymierna f.