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Mathematica > Mathematics and Algorithms > Number Theory > Algebraic Number Theory >

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AlgebraicNumberDenominator

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

Radical expressions:

AlgebraicNumberDenominator automatically threads over lists:

Representation of

as a quotient

/n of an algebraic integer

and an integer n:

For an algebraic integer n, the denominator is one:

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

The argument must be an algebraic number: