Question

Find two irrational numbers lying between 0.1 and 0.12.

Answer 1

Let 

a = 0.1

b = 0.12

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 0.1010010001... and 0.11010010001... lying between 0.1 and 0.12.