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Prove the opposite.
Assume that a square number is prime.
A square number is one that is a product of a number multiplied by itself
A Prime number is one that has no factors other than itself and 1.
For a prime number to be square, the only choice is for it to be 1*1=1
Since 1 is not a prime number, there is a contradiction, and the original premise is false.
Therefore, all square numbers must be composite.â–
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