Question

Find two irrational numbers between 0.5 and 0.55.

Answer 1

Let 

a = 0.5

b = 0.55

Here a and b are rational number. So we observe that in first decimal place a and b have same digit .So a < b.

Hence two irrational numbers are 0.510100100010000... and 0.5202002000200002... lying between 0.5 and 0.55.