Question

insert six rational numbers between 2 and 2.5​

Answer 1

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 × 21/2 .

Answer 2

four rational numbers between 2 and 2.5

2.1

2.2

2.3

2.4