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Audio English.org » Dictionary » I » Iron Deficiency Anemia ... Irregularity |

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**

Sense 1 | irrational ^{[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)

Sense 1 | irrational ^{[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 2 | irrational ^{[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))

Learn English with... Proverbs of the week |

"Talk is cheap." *(English proverb)*

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"Each person is his own judge."

"Not only can water float a craft, it can sink it also."

"Honesty is the best policy."

IRRATIONAL: related words searches |

» What does algebraic number mean?

» blind meaning

» unreasonable: pronunciation in phonetic transcription

» Meaning of math

» mathematics definition

» blind meaning

» unreasonable: pronunciation in phonetic transcription

» Meaning of math

» mathematics definition

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