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How many irrational numbers are there between sqrt2 and sqrt3? - Answers

Infinitely many. In fact, the number of irrationals in any interval - no matter how small - is infinite. Furthermore, the cardinality of the set of irrationals in any interval is greater than the cardinality of rational numbers in total!



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How many irrational numbers are there between sqrt2 and sqrt3? - Answers

https://math.answers.com/algebra/How_many_irrational_numbers_are_there_between_sqrt2_and_sqrt3

Infinitely many. In fact, the number of irrationals in any interval - no matter how small - is infinite. Furthermore, the cardinality of the set of irrationals in any interval is greater than the cardinality of rational numbers in total!



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https://math.answers.com/algebra/How_many_irrational_numbers_are_there_between_sqrt2_and_sqrt3

How many irrational numbers are there between sqrt2 and sqrt3? - Answers

Infinitely many. In fact, the number of irrationals in any interval - no matter how small - is infinite. Furthermore, the cardinality of the set of irrationals in any interval is greater than the cardinality of rational numbers in total!

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      Infinitely many. In fact, the number of irrationals in any interval - no matter how small - is infinite. Furthermore, the cardinality of the set of irrationals in any interval is greater than the cardinality of rational numbers in total!

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