What is the reason that π π is not a perfect square?

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 π (pi) is not a perfect square because it is an irrational number. An irrational number is a number that cannot be expressed as a simple fraction of two integers, and its decimal representation is non-terminating and non-repeating.


A perfect square is a number that can be expressed as the square of an integer (e.g., 1, 4, 9, 16, etc.). For a number to be a perfect square, it must be the square of a rational number. However, since π is irrational, it cannot be the square of any rational number, and therefore it cannot be a perfect square. 


Furthermore, if π were a perfect square, then its square root would have to be a rational number, which we know it is not because the square root of π is also irrational. Thus, π cannot be a perfect square.

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