Answer :

Say, in general a is a fraction such that,


√2<a< √3[note, a>0]



,for k being a natural number.


So, for a particular k, our job is to find a perfect square(of a fraction) between and .


Put, k = 2,3,5 (as three fractions are asked,three primes are chosen, else, like the case of k = 2 and k = 4 same fraction a may occur) – – –





[ 0]







]





So, the three fractions are:



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