im just wondering since irrational numbers supposedly dont end and dont repeat either, why is it not a possibility that after a huge bunch of numbers they all start over again or are only a single repeating digit.
In: Mathematics
Because if a decimal number starts repeating at some point, then it means that it could also be expressed as some fraction. It may be an enormous fraction, two numbers with hundreds or thousands of digits, but it would be a fraction nonetheless. And as the other posts show, we can prove that √2 cannot be represented by any fraction.
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