say it: ir-ASH-uh-nuhl
irrational is an adjective and noun meaning "not consistent with or using reason". It carries 3 recorded senses.
real but not expressible as the quotient of two integers
“irrational numbers”
mathematics
a real number that cannot be expressed as a rational number
Forms marked · are formed by the regular rule rather than recorded in the source data. English keeps a few hundred irregulars and the rest follow the pattern, so the rule is right far more often than not — but it is a rule, and the mark says so.
Definitions, synonyms and semantic relations for irrational come from Princeton University’s WordNet. The pronunciation comes from the CMU Pronouncing Dictionary. Commonness is measured against a corpus of everyday English. Full sources and licences.