Tuesday, 2 February 2016

How many Irrational numbers?

How many irrational numbers can exist between two rational numbers ?
As there are infinite numbers between two rational numbers and also there are infinite rational numbers between two rational numbers. So number of irrational numbers between the numbers should be infinite or something finite which we cannot tell ? Or there exist some specific irrational which could be told by some methods ?
for eg. irrational numbers between 2 and 3 are 5^(1/2),7^(1/2) etc...
If there exists only some specific irrationals then why so?

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