Question 1173673
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{{{x^4}}} + 1 = 0   (has no one real root, and in particular, has no one rational root).


{{{x^4}}} = 4       (almost the same as  {{{x^2}}} = 2,  has IRRATIONAL roots  x = +/- {{{sqrt(2)}}} ).



{{{x^4}}} = 9       (almost the same as  {{{x^2}}} = 3,  has IRRATIONAL roots  x = +/- {{{sqrt(3)}}} ).



And millions other examples.
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