Question

Find two irrational numbers between 2 and 2.5​

Answer 1

Answer:

If a and b are any two distinct positive rational numbers such that ab is not 

a perfect square , then the irrational number √ab lies between a and b.  

∴ Irrational number between 2 and 2.5 is √ 2 × 2.5 , i.e √5 

Irrational number between 2 and √5  is √2 × √5 = 2(1/2) × 5(1/4)  

Irrational number between √5 and 2.5 is √√5 × 2.5 =

Thus the three irrational numbers between 2 and 2.5 are √5  , 2(1/2)  × 5(1/4) and (1/2) × 5 3/4 

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