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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