Noun

• S: (n) irrational number, irrational (a real number that cannot be expressed as a rational number)
• direct hyponym / full hyponym
• S: (n) transcendental number (an irrational number that is not algebraic)
• direct hyponym / full hyponym
• direct hypernym / inherited hypernym / sister term
• S: (n) algebraic number (root of an algebraic equation with rational coefficients)
• direct hypernym / inherited hypernym / sister term

Adjective

• S: (adj) irrational (not consistent with or using reason) "irrational fears"; "irrational animals"
• see also
• similar to
• S: (adj) blind, unreasoning (not based on reason or evidence) "blind hatred"; "blind faith"; "unreasoning panic"
• S: (adj) reasonless (not endowed with the capacity to reason) "a reasonless brute"
• S: (adj) nonrational (not based on reason) "there is a great deal that is nonrational in modern culture"
• S: (adj) superstitious (showing ignorance of the laws of nature and faith in magic or chance) "finally realized that the horror he felt was superstitious in origin"
• antonym
• derivationally related form
• W: (n) irrationality [Related to: irrational] (the state of being irrational; lacking powers of understanding)
• S: (adj) irrational (real but not expressible as the quotient of two integers) "irrational numbers"