Answer :
If a and b are any two distinct positive rational numbers such that ab is not a perfect square, then the irrational number
lies between a and b.
∴ Irrational number between 2 and 2.5 is
, i.e 
Irrational number between 2 and
is
= 2(1/2) × 5(1/4)
Irrational number between
and 2.5 is
=
Thus, the three irrational numbers between 2 and 2.5 are
, 2(1/2) × 5(1/4)and (1/2) × 5
× 2
.

∴ Irrational number between 2 and 2.5 is


Irrational number between 2 and


Irrational number between


Thus, the three irrational numbers between 2 and 2.5 are



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