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why is the square root of a perfect square a rational number, but the square root of a non-perfect square an irrational number?

Respuesta :

Zero has one square root which is 0. Negative numbers don't have real square roots since a square is either positive or 0. The square roots of numbers that are not a perfect square are members of the irrational numbers. This means that they can't be written as the quotient of two integers.
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