Definition of IRRATIONAL

irrational

Plural: irrationals

Noun

  • a real number that cannot be expressed as a rational number
  • A real number that can not be expressed as the quotient of two integers, an irrational number.

Adjective

  • not consistent with or using reason
    • "irrational fears"
    • "irrational animals"
  • real but not expressible as the quotient of two integers
    • "irrational numbers"

Adj

  • Not rational; unfounded, nonsensical or wrong-headed.
  • Of a real number, that cannot be written as the ratio of two integers.

Examples

  • an irrational decision
  • The number π is irrational.

Origin / Etymology

From Latin irratiōnālis, from ir- + ratiōnālis.

Synonyms

irrational number

Antonyms

rational

Scrabble Score: 10

irrational: valid Scrabble (US) TWL Word
irrational: valid Scrabble Word in Merriam-Webster MW Dictionary
irrational: valid Scrabble Word in International Collins CSW Dictionary

Words With Friends Score: 12

irrational: valid Words With Friends Word