RootReduce

Available

Reduce an algebraic number to a simplified radical or a minimal-polynomial Root object

Forms

RootReduce[expr]

Verified examplesRootReduce[Sqrt[2] + Sqrt[3]] → Root[1 - 10*#1^2 + #1^4 & , 4, 0]RootReduce[2 ^ (1 / 3) + Sqrt[5]] → Root[-121 - 60*#1 + 75*#1^2 - 4*#1^3 - 15*#1^4 + #1^6 & , 2, 0]RootReduce[Sqrt[7] / Sqrt[5 + 2Sqrt[6]]] → Sqrt[7]/Sqrt[5 + 2*Sqrt[6]]

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Topics

Algebraic Number Theory - Factorization
Algebraic Numbers - Algebraic Number Theory»
Algebraic Transformations - Algebraic Numbers & Functions »
Formula Manipulation - Algebraic Transformations »
Number Recognition - General
Polynomial Algebra - Algebraic Number Fields »

Related

Root MinimalPolynomial FullSimplify Solve ToRadicals RootApproximant AlgebraicNumber ToNumberField QuadraticIrrationalQ AlgebraicIntegerQ AlgebraicUnitQ RootOfUnityQ

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