# Definitions for **Irrational**ɪˈræʃ ə nl

### This page provides all possible meanings and translations of the word **Irrational**

### Random House Webster's College Dictionary

ir•ra•tion•alɪˈræʃ ə nl(adj.)

lacking the faculty of reason; deprived of reason.

lacking sound judgment or logic:

irrational arguments.

not controlled or governed by reason:

irrational behavior.

(of a number) not capable of being expressed exactly as a ratio of two integers. (of a function) not capable of being expressed exactly as a ratio of two polynomials. (of an equation) having an unknown under a radical sign or, alternately, with a fractional exponent.

**Category:**Mathof or pertaining to a syllable in Greek or Latin prosody whose quantity does not fit the meter.

**Category:**Prosody**Category:**Math**Ref:**irrational number.

#### Origin of **irrational**:

1425–75; late ME < L

ir•ra′tion•al•ness(n.)

### Princeton's WordNet

irrational number, irrational(adj)

a real number that cannot be expressed as a rational number

irrational(adj)

not consistent with or using reason

"irrational fears"; "irrational animals"

irrational(adj)

real but not expressible as the quotient of two integers

"irrational numbers"

### Wiktionary

irrational(Noun)

A real number that can not be expressed as the quotient of two integers, an irrational number.

irrational(Adjective)

Not rational; unfounded or nonsensical.

an irrational decision

irrational(Adjective)

Of a real number, that cannot be written as the ratio of two integers.

The number uE0009599uE001 is irrational.

**Origin:** From irrationalis, from ir- + rationalis.

### Webster Dictionary

Irrational(adj)

not rational; void of reason or understanding; as, brutes are irrational animals

Irrational(adj)

not according to reason; absurd; foolish

Irrational(adj)

not capable of being exactly expressed by an integral number, or by a vulgar fraction; surd; -- said especially of roots. See Surd

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