A number that cannot be represented as a decimal or as a fraction A number like pi is irrational because it contains an infinite number of digits that keep repeating, many square roots are irrational numbers
cannot be expressed in the form a/b A number is irrational if it has an infinite number of significant decimal figures that do not follow a pattern
not consistent with or using reason; "irrational fears"; "irrational animals" real but not expressible as the quotient of two integers; "irrational numbers
Not rational; void of reason or understanding; as, brutes are irrational animals
If you describe someone's feelings and behaviour as irrational, you mean they are not based on logical reasons or clear thinking. an irrational fear of science. = unreasonable rational + irrationally ir·ra·tion·al·ly My husband is irrationally jealous over my past loves. + irrationality ir·ra·tion·al·ity the irrationality of his behaviour. not based on clear thought or reason = unreasonable rational, reasonable reasonable
Not capable of being exactly expressed by an integral number, or by a vulgar fraction; surd; said especially of roots
A number that can be expressed as an infinite decimal with no set of consecutive digits repeating itself indefinitely and that cannot be expressed as the quotient of two integers
That which lies beyond the bounds of what can be comprehended, explained, justified or rejected by human reasoning and science Antonym: rational (q v ) NOTE: Irrational does not mean incorrect or impractical reasoning, but the total absence of any reasoning EP 31-35, 135, 148; HA 19-23, 89,102-04,173,184-87,884884; OG 112-13
"(1) : not endowed with reason or understanding (2) : lacking usual or normal mental clarity or coherence"