### Definition of Irrational

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

Exact synonyms: Irrational Number
Generic synonyms: Real, Real Number
Specialized synonyms: Transcendental Number, Algebraic Number

2. Adjective. Not consistent with or using reason. "Irrational animals"

3. Adjective. Real but not expressible as the quotient of two integers. "Irrational numbers"
Category relationships: Math, Mathematics, Maths
Partainyms: Ratio
Antonyms: Rational

### Definition of Irrational

1. a. Not rational; void of reason or understanding; as, brutes are irrational animals.

### Definition of Irrational

1. Adjective. Not rational; unfounded or nonsensical. ¹

2. Adjective. (mathematics arithmetic number theory not comparable) Of a real number, that cannot be written as the ratio of two integers. ¹

3. Noun. A real number that can not be expressed as the quotient of two integers, an irrational number. ¹

¹ Source: wiktionary.com

1. [n -S]

### Medical Definition of Irrational

1. 1. Not rational; void of reason or understanding; as, brutes are irrational animals. 2. Not according to reason; absurd; foolish. "It seemed utterly irrational any longer to maintain it." (I. Taylor) 3. Not capable of being exactly expressed by an integral number, or by a vulgar fraction; surd; said especially of roots. See Surd. Synonym: Absurd, foolish, preposterous, unreasonable, senseless. See Absurd. Origin: L. Irrationalis: cf. F. Irrationnel. See In- not, and Rational. Source: Websters Dictionary (01 Mar 1998)

### Irrational Pictures

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### Literary usage of Irrational

Below you will find example usage of this term as found in modern and/or classical literature:

1. Elements of the Differential and Integral Calculus by William Anthony Granville, Percey Franklyn Smith (1904)
"irrational numbers. If we wish to study the straight line arithmetically, ... This has been done by the creation of irrational numbers which are defined in ..."

2. Elements of the Differential and Integral Calculus by William Anthony Granville (1904)
"irrational numbers. If we wish to stud}' the straight line arithmetically, ... This has been done by the creation of irrational numbers which are defined in ..."

3. The Theory of Functions of a Real Variable and the Theory of Fourier's Series by Ernest William Hobson (1907)
"irrational NUMBERS. 15. The only numbers of which the existence was recognized ... Before the recent development of the arithmetical theories of irrational ..."

4. The Teaching of Mathematics in the Elementary and the Secondary School by Jacob William Albert Young (1906)
"Geometry demands, first of all, that the definition be made to apply to irrational limits, and it is desirable that illustrations of irrational limits be ..."

5. Introduction to the Theory of Fourier's Series and Integrals by Horatio Scott Carslaw (1921)
"irrational Numbers. The extension of the idea of number from the ... To make the solution possible in general the irrational numbers are introduced. ..."

6. The Life and Strange Surprizing Adventures of Robinson Crusoe, of York by Daniel Defoe (1790)
"... irrational to her to believe; nay, that already fhe could not believe in God, ... irrational ..."

7. The Thirteen Books of Euclid's Elements by Euclid, Johan Ludvig Heiberg (1908)
"We should in this case call */ — . p irrational. It would appear that Euclid's terminology here differed as much from that of his predecessors as it does ..."

8. The Verse of Greek Comedy by John Williams White (1912)
"holds that the irrational syllable has the time of a short syllable, ... 107), believing that the irrational half of the metre retains its original value of ..."

9. Elements of the Differential and Integral Calculus by William Anthony Granville, Percey Franklyn Smith (1904)
"irrational numbers. If we wish to study the straight line arithmetically, ... This has been done by the creation of irrational numbers which are defined in ..."

10. Elements of the Differential and Integral Calculus by William Anthony Granville (1904)
"irrational numbers. If we wish to stud}' the straight line arithmetically, ... This has been done by the creation of irrational numbers which are defined in ..."

11. The Theory of Functions of a Real Variable and the Theory of Fourier's Series by Ernest William Hobson (1907)
"irrational NUMBERS. 15. The only numbers of which the existence was recognized ... Before the recent development of the arithmetical theories of irrational ..."

12. The Teaching of Mathematics in the Elementary and the Secondary School by Jacob William Albert Young (1906)
"Geometry demands, first of all, that the definition be made to apply to irrational limits, and it is desirable that illustrations of irrational limits be ..."

13. Introduction to the Theory of Fourier's Series and Integrals by Horatio Scott Carslaw (1921)
"irrational Numbers. The extension of the idea of number from the ... To make the solution possible in general the irrational numbers are introduced. ..."

14. The Life and Strange Surprizing Adventures of Robinson Crusoe, of York by Daniel Defoe (1790)
"... irrational to her to believe; nay, that already fhe could not believe in God, ... irrational ..."

15. The Thirteen Books of Euclid's Elements by Euclid, Johan Ludvig Heiberg (1908)
"We should in this case call */ — . p irrational. It would appear that Euclid's terminology here differed as much from that of his predecessors as it does ..."

16. The Verse of Greek Comedy by John Williams White (1912)
"holds that the irrational syllable has the time of a short syllable, ... 107), believing that the irrational half of the metre retains its original value of ..."