Generalize further and show that for any whole number r, the rth root r A is irrational
Chapter 0, Problem 41(choose chapter or problem)
Generalize further and show that for any whole number r, the rth root r A is irrational unless A is an rth power. Hint: Let x = r A. Show that if x is rational, then we may choose a smallest whole number n such that nxj is a whole number for j = 1,...,r 1. Then consider m = nx n[x] as before.
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