2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/115234We prove that for any given s > 0 the geometric mean of the radicals of the phi(n) integers less than n and relatively prime to n, is greater than K(s)R(n) ^(-s)n, where K(s) an absolute constant depending only on s.Number Theorytext