there is a number x such that x power 2 is irrational but x power 4is rational than x can be
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This proves the statement that X is irrational indirectly by proving the contraposition (that all non-irrational number can not be X). If x is rational, it can be written as the ratio of two integers p and q. Or: But x 2 is irrational, while this implies x 2 is rational, therefore if x 2 is irrational then x is rational.
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