Is there a number x such that x2 is irrational but x4 is rational?
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yes there are so many no.
example 2^(1/4) which is irrational and its square is 2^(1/2) which is also irrational but again squaring it becomes 2 which is rational no.
Note: If a no. is rational then its square is always rational.
But if a no. is irrational then its square may be rational or irrational
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