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irrational

irrational

8.6
A number in math that cannot be written as a fraction
  • noun
  • /ɪˈræʃənl/
  • Specialized
translation icon : número irracional
  • The class learned that numbers like pi are irrational because they go on forever without repeating.

Examples

  • The way I look at it, if a country hands itself over to the irrationals it's every man for himself.

  • And so they tried to find patterns and irrationals because they considered them a threat.

  • So I I think we need a representation of irrational numbers where the numbers don't believe that the Earth is round.

  • Have a pleasant holiday, and we'll resume your irrationals when you return.

  • Irrationals don't hold her interest yet.

    Fiction book (1998)
  • For someone among the "brights," I would hope that you shine more brightly to amaze us irrationals.

    Blog text (4)
  • The square root of 2 is an irrational number because it cannot be expressed as a fraction.

  • Many students struggle to understand that irrational numbers exist between whole numbers on the number line.

Synonyms

irrational number
vsirrational
  • Specialized
1 5.6

A number that cannot be written as a fraction, for example π or √2

is the same meaning but uses a shorter single-word form
surd
vsirrational
  • UK
9.9

A number that cannot be written as a simple fraction, often a square root

covers any real nonfraction number, not only root-derived ones

Antonyms

rational number
  • Specialized
1 3.8

A number that can be written as a fraction like 3/4 or -1/2

Compounds

irrational number
  • Specialized
1 5.6

A number that cannot be written as a fraction, for example π or √2

A strong dislike of a person or group without good reason

A sudden strong wish to do something without a clear reason

A reason for doing something that is not logical or sensible

Surface Forms

irrational singular
irrationals plural

Etymology

Irrational as a noun comes from the same parts ir- 'not' and ratio 'a fraction', so an irrational is literally 'not a ratio' and names a real number that cannot be written as one simple fraction.