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Mathematica > Algebraic Numbers >

Built-in Mathematica Symbol

RootApproximant

RootApproximant[x]
converts the number x to one of the "simplest" algebraic numbers that approximates it well.

RootApproximant[x, n]
finds an algebraic number of degree at most n that approximates x.

RootApproximant[x] effectively tests the total number of bits in the description of x by successively higher-degree algebraic numbers, and returns the first case for which the number of bits is small.

MinimalPolynomial yields the minimal polynomial for the result of RootApproximant.

Find a quadratic approximation to

Find algebraic approximants of any order:

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