Prove that if a,p are in Z with p a prime and p divides a^2, then p divides a
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Originally Posted by teramaries Prove that if a,p are in Z with p a prime and p divides a^2, then p divides a http://www.mathhelpforum.com/math-he...tml#post529066
To prove it you can use a proof by contradiction. Assume the antecedent is true but p does not divide a. Show that this means p does not divide a^2...contradiction. Hint: Fundamental theorem of arithmetic
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