State whether the following statement is true or false. There is a number x such that x² is irrational but x⁴ is rational. Justify your answer with an example.
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Step-by-step explanation:
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.
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The statement is true because the number x2 = π2 is irrational, therefore x = π is irrational
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