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."

Synonyms

irrational number

Antonyms

rational