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RootApproximant

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Finds an algebraic number approximating a numeric value

RootApproximant[x]
RootApproximant[x, n]
RootApproximant[Pi, 2] → 245850922/78256779RootApproximant[3.1415926] → Root[369 - 444*#1 + 494*#1^2 - 165*#1^3 + 13*#1^4 & , 1, 0]RootApproximant[E, 3] → 325368125/119696244

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