Answer :

First we square the two given numbers

2^{2} = 4

3^{2} = 9

Square root of any two numbers between 4 and 9 will give an irrational number since they are not perfect squares.

√5 = 2.236067977…

√7 = 2.645751311…

So √5 and √7 are the two irrational numbers between 2 and 3

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