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Definition of Irational

Ir*ra"tion*al (?), a. [L. irrationalis: cf. F. irrationnel. See In- not, and Rational.]

1. Not rational; void of reason or understanding; as, brutes are irrational animals.

2. Not according to reason; absurd; foolish.

It seemed utterly irrational any longer to maintain it.
I. Taylor.

3. (Math.) Not capable of being exactly expressed by an integral number, or by a vulgar fraction; surd; -- said especially of roots. See Surd.

Syn. -- Absurd; foolish; preposterous; unreasonable; senseless. See Absurd.

- Webster's Unabridged Dictionary (1913)

  • 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.
- The Nuttall Encyclopedia

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