Irrational

[ih-rash-uh-nl] /ɪˈræʃ ə nl/

adjective
1.
without the faculty of reason; deprived of reason.
2.
without or deprived of normal mental clarity or sound judgment.
3.
not in accordance with reason; utterly illogical:
irrational arguments.
4.
not endowed with the faculty of reason:
irrational animals.
5.
Mathematics.

6.
Algebra. (of an equation) having an unknown under a radical sign or, alternately, with a fractional exponent.
7.
Greek and Latin Prosody.

noun
8.
Mathematics. .
/ɪˈræʃənəl/
adjective
1.
inconsistent with reason or logic; illogical; absurd
2.
incapable of reasoning
3.
(maths)

4.
(prosody, in Greek or Latin verse)

adj.

late 15c., “not endowed with reason” (of beats, etc.); earlier (of quantities) “inexpressible in ordinary numbers” (late 14c.); from Latin irrationalis “without reason,” from assimilated form of in- “not, opposite of” (see in- (1)) + rationalis “reason” (see rational). Meaning “illogical, absurd” is attested from 1640s. Related: Irrationally.

irrational ir·ra·tion·al (ĭ-rāsh’ə-nəl)
adj.
Not rational; marked by a lack of accord with reason or sound judgment.

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Irrationality
[ih-rash-uh-nal-i-tee] /ɪˌræʃ əˈnæl ɪ ti/ noun, plural irrationalities for 2. 1. the quality or condition of being . 2. an , illogical, or absurd action, thought, etc. /ɪˌræʃəˈnælɪtɪ/ noun 1. the state or quality of being irrational 2. irrational thought, action, or behaviour n. 1560s, from irrational + -ity.
Irrationalize
[ih-rash-uh-nl-ahyz] /ɪˈræʃ ə nlˌaɪz/ verb (used with object), irrationalized, irrationalizing. 1. to make or cause to be .
Irrationally
[ih-rash-uh-nl] /ɪˈræʃ ə nl/ adjective 1. without the faculty of reason; deprived of reason. 2. without or deprived of normal mental clarity or sound judgment. 3. not in accordance with reason; utterly illogical: irrational arguments. 4. not endowed with the faculty of reason: irrational animals. 5. Mathematics. 6. Algebra. (of an equation) having an unknown […]

Irrational-number
noun, Mathematics. 1. a number that cannot be exactly expressed as a ratio of two integers. noun 1. any real number that cannot be expressed as the ratio of two integers, such as π irrational number (ĭ-rāsh’ə-nəl) A number that cannot be expressed as a ratio between two integers and is not an imaginary number. […]
Irreal
[ih-ree-uh l, ih-reel] /ɪˈri əl, ɪˈril/ adjective 1. .