BUILT-IN MATHEMATICA SYMBOL

SquareFreeQ

SquareFreeQ[expr]
gives True if expr is a square-free polynomial or number, and False otherwise.

SquareFreeQ[expr, vars]
gives True if expr is square free with respect to the variables vars.

Details and Options Details and Options

For integers m and n, SquareFreeQ[m+I n] automatically works over the Gaussian integers.
The following options can be given:
GaussianIntegers Automatic whether to allow Gaussian integers

Modulus 0 modulus for polynomial coefficients
SquareFreeQ[0] gives False.

Examples Examples open all close all

Basic Examples (2)Basic Examples (2)

Out[1]=

12 has a factor 4, which is a square:

Out[2]=

Out[1]=

Out[2]=

Scope (6)Scope (6)

Options (2)Options (2)

Applications (1)Applications (1)

Properties & Relations (3)Properties & Relations (3)

Neat Examples (2)Neat Examples (2)

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See Also See Also

FactorInteger Factor FactorSquareFree PolynomialGCD IrreduciblePolynomialQ Discriminant PrimeQ PrimePowerQ MoebiusMu

Tutorials Tutorials

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