March 21st, 2018, 12:47 PM  #1 
Senior Member Joined: Apr 2016 From: Australia Posts: 243 Thanks: 29 Math Focus: horses,cash me outside how bow dah, trash doves  Updated questions
my apologies, the last one had errors galore, see updated questions. Q0) Show that the radical of the product of all distinct composite factors of n that are strictly less than n is equal to 1 if and only if n has at most two prime factors. Q1) Show that if the radical of the product of all distinct composite factors of a n that are strictly less than n is equal to the radical of n itself then n is a practical number. 

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