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.

$\mathrm{with}\left(\mathrm{NumberTheory}\right)\:$

$\mathrm{Radical}\left(12\right)$

$6$

$\mathrm{Radical}\left(6\right)$

$6$

$\mathrm{Radical}\left(-12\right)$

$6$

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

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