AlgebraicNumberDenominator

AlgebraicNumberDenominator[a]

gives the smallest positive integer n such that n a is an algebraic integer.

Examples

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Basic Examples  (2)

Scope  (3)

Radical expressions:

Root and AlgebraicNumber objects:

AlgebraicNumberDenominator automatically threads over lists:

Applications  (1)

Representation of 1/(1+) as a quotient α/n of an algebraic integer α and an integer n:

Properties & Relations  (2)

For an algebraic integer n, the denominator is 1:

Multiplying an algebraic number by its denominator gives an algebraic integer:

Possible Issues  (1)

The argument must be an algebraic number:

Introduced in 2007
 (6.0)