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NumberTheory

  

Radical

  

calculate the radical of an integer

 

Calling Sequence

Parameters

Description

Examples

Compatibility

Calling Sequence

Radical( n )

Parameters

n

-

integer

Description

• 

The Radical( n ) function computes the radical of the nonzero integer n. The radical of a nonzero integer is the product of its prime divisors. The radical of any nonzero integer is, therefore, a square-free integer.

• 

The radical of 0 is not defined; an exception is raised if 0 is passed.

• 

A positive integer is equal to its radical precisely when it is square-free.

Examples

withNumberTheory:

Radical12

6

(1)

Radical6

6

(2)

Radical12

6

(3)

Compatibility

• 

The NumberTheory[Radical] command was introduced in Maple 2017.

• 

For more information on Maple 2017 changes, see Updates in Maple 2017.

See Also

ABC Conjecture

NumberTheory

NumberTheory[PrimeFactors]