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No. If it is possible to write it out, then it is rational. (For example, 0.1435897488972049876329487678694743896787917934706982770398847689189083709387987209870928763891787385173986517632871463287659670234857209872894775 may seem irrational, but it IS possible to write it out completely so it is rational.)
the square root of 2, and Pi, are both irrational because their values go into infinity, with no pattern.
1/7 may seem irrational because it goes off to infinity, but it IS rational, because its numbers repeat. (0.142857142857142815142857........)
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