irrational number

n (Mathematics) any real number that cannot be expressed as the ratio of two integers, such as π

irra′tional num′ber

n. a number that cannot be exactly expressed as a ratio of two integers. [1545–55]

ir·ra·tion·al number

(ĭ-răsh′ə-nəl) A real number that cannot be expressed as a ratio between two integers. If written in decimal notation, an irrational number would have an infinite number of digits to the right of the decimal point, without repetition. Pi and the square root of 2 (√2) are irrational numbers.

Thesaurus

Noun

irrational number - a real number that cannot be expressed as a rational numberirrationalreal, real number - any rational or irrational numbertranscendental number - an irrational number that is not algebraicalgebraic number - root of an algebraic equation with rational coefficients

Translations

irrational number

any real number that cannot be expressed as the ratio of two integers, such as π

Irrational Number

a number that is not rational (that is, not an integer or fraction). Real irrational numbers can be represented by an infinite non repeating decimal; for example, √2 = 1.41 …, π = 3.14 …. The existence of irrational ratios (for example, the irrationality of the ratio of the diagonal of a square to its side) was known in antiquity. The irrationality of the number π was established by the German mathematician J. Lambert (1766). However, a rigorous theory of irrational numbers was constructed only in the second half of the 19th century. Irrational numbers are divided into nonrational algebraic numbers and transcendental numbers.

irrational number

[i′rash·ən·əl ′nəm·bər] (mathematics) A number which is not the quotient of two integers.

irrational number

(mathematics)A real number which is not a rational number, i.e. it is not the ratio of two integers.

The decimal expansion of an irrational is infinite but doesnot end in an infinite repeating sequence of digits.

Examples of irrational numbers are pi, e and the squareroot of two.

irrational number

irrational number

irrational number

irra′tional num′ber

ir·ra·tion·al number

irrational number

irrational number

Irrational Number

irrational number

irrational number

irrational number

Synonyms for irrational number

noun a real number that cannot be expressed as a rational number

Synonyms

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