Question

Find two irrational numbers between 0.7 and 0.77

Answer 1

Use the property of geometric means. Between any 2 numbers a and b , provided a b is not a perfect square, a b is an irrational number. In your case, a b = 0.7 × 0.77 = 0.539 . So 0.539 is one irrational number.

Answer 2

We can take 0.7 as 0.70. The irrationals between 0.70 & 0.77 =0.71118394759837493749......; 0.738483048749493939.........