Proof the square root of any prime number irrational.

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A simple proof that the square root of any prime number will be irrational. This is done in this video by using the fundamental theorem of arithmetic and a neat contradiction. #maths #math #cs #computerscience #physics
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Wouldn’t this mean that the square root any number that isn’t a direct square (1, 4, 9, etc) is irrational as it can be expressed at the product of a set of numbers with at least one prime square root? Explaining it horribly but I think I get the idea across

thewordsmith