irrational
Adjective

Not consistent with or using reason (synset 301932775)
"irrational fears"; "irrational animals"also:
 incoherent  without logical or meaningful connection
 illogical, unlogical  lacking in correct logical relation
 unreasonable  not reasonable; not showing good judgment
similar: blind, unreasoning  not based on reason or evidence
 reasonless  not endowed with the capacity to reason
 nonrational  not based on reason
 superstitious  showing ignorance of the laws of nature and faith in magic or chance

Real but not expressible as the quotient of two integers (synset 302941396)
"irrational numbers"domain category: math, mathematics, maths  a science (or group of related sciences) dealing with the logic of quantity and shape and arrangement
Noun

A real number that cannot be expressed as a rational number (synset 113752694)
hypernym: real, real number  any rational or irrational numberhyponym:
 transcendental number  an irrational number that is not algebraic
 algebraic number  root of an algebraic equation with rational coefficients
synonym: irrational number
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