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IRRATIONAL

Pronunciation (US): 

 Dictionary entry overview: What does irrational mean? 

IRRATIONAL (noun)
  The noun IRRATIONAL has 1 sense:

1. a real number that cannot be expressed as a rational number

  Familiarity information: IRRATIONAL used as a noun is very rare.


IRRATIONAL (adjective)
  The adjective IRRATIONAL has 2 senses:

1. not consistent with or using reason
2. real but not expressible as the quotient of two integers

  Familiarity information: IRRATIONAL used as an adjective is rare.


 Dictionary entry details 


IRRATIONAL (noun)


Sense 1irrational [BACK TO TOP]

Meaning:

A real number that cannot be expressed as a rational number

Classified under:

Nouns denoting quantities and units of measure

Synonyms:

irrational; irrational number

Hypernyms ("irrational" is a kind of...):

real; real number (any rational or irrational number)

Hyponyms (each of the following is a kind of "irrational"):

transcendental number (an irrational number that is not algebraic)

algebraic number (root of an algebraic equation with rational coefficients)


IRRATIONAL (adjective)


Sense 1irrational [BACK TO TOP]

Meaning:

Not consistent with or using reason

Context examples:

irrational fears / irrational animals

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 or the laws of nature and faith in magic or chance)

Also:

incoherent (without logical or meaningful connection)

illogical; unlogical (lacking in correct logical relation)

unreasonable (not reasonable; not showing good judgment)

Antonym:

rational (consistent with or based on or using reason)


Sense 2irrational [BACK TO TOP]

Meaning:

Real but not expressible as the quotient of two integers

Classified under:

Relational adjectives (pertainyms)

Context example:

irrational numbers

Domain category:

math; mathematics; maths (a science (or group of related sciences) dealing with the logic of quantity and shape and arrangement)

Antonym:

rational (capable of being expressed as a quotient of integers)

Pertainym:

ratio (the relative magnitudes of two quantities (usually expressed as a quotient))


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