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Irrational

//ɪˈɹæʃ.(ə.)nəl// adj, noun

Definitions

Adjective
  1. 1
    Not rational; unfounded, nonsensical or wrong-headed.

    "an irrational decision"

  2. 2
    Of a real number, that cannot be written as the ratio of two integers. not-comparable

    "The number π is irrational."

Adjective
  1. 1
    not consistent with or using reason wordnet
  2. 2
    real but not expressible as the quotient of two integers wordnet
Noun
  1. 1
    A real number that can not be expressed as the quotient of two integers, an irrational number.

    "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."

  2. 2
    a real number that cannot be expressed as a rational number wordnet

Etymology

Etymology 1

From Latin irratiōnālis, from ir- + ratiōnālis.

Etymology 2

From Latin irratiōnālis, from ir- + ratiōnālis.

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