Question

Find two irrational number between 0.12/0.13

Answer 1

Answer:

Let a = 0.12 and b = 0.13.Clearly, a and b are rational numbers.We observe the numbers a and b: a and b have 1 in the first place of decimal, but in the second place of decimal a has 2 and b has 3. So, we consider the numbers:c = 1.201001000100001... and, d = 1.2101001000100001... Clearly, c and d are irrational numbers such that a < c < d < b.