irrational
ir·ra·tion·al
adjective
- Irrational is defined as lacking reason or understanding.
An example of irrational is a fear of a certain color.
- The definition of an irrational is a number that cannot be expressed as a fraction.
An example of irrational is pi.
irrational
- lacking the power to reason
- contrary to reason or rationality; senseless; unreasonable; absurd
- Math. designating a real number not expressible as an integer or as a quotient of two integers: ? and pi are irrational numbers
Origin of irrational
Middle English from Classical Latin irrationalis: see in- and rationalirrational
adjective
- a. Not endowed with reason.b. Affected by loss of usual or normal mental clarity; incoherent, as from shock.c. Marked by a lack of accord with reason or sound judgment: an irrational dislike.
- a. Being a syllable in Greek and Latin prosody whose length does not fit the metric pattern.b. Being a metric foot containing such a syllable.
- Mathematics Of or relating to an irrational number.
noun
MathematicsAn irrational number.
Related Forms:
- ir·ra′tion·al·ly
adverb
- ir·ra′tion·al·ness
noun
irrational
Adjective
(comparative more irrational, superlative most irrational)
- Not rational; unfounded or nonsensical.
- an irrational decision
- (mathematics, arithmetic, number theory, not comparable) Of a real number, that cannot be written as the ratio of two integers.
- The number π is irrational.
Hyponyms
- (mathematics): transcendental
Noun
(plural irrationals)
- A real number that can not be expressed as the quotient of two integers, an irrational number.
Origin
From Latin irratiōnālis, from ir- + ratiōnālis.