Question

Question 3 (ii)
Is 0.120120012000120000... rational or not. If it is rational, and of the form $\frac{p}{q}$, what can you say about the prime factors of q?

Answer 1

The decimal expansion is neither terminating nor recurring.
Therefore, the given number is an irrational number. And, q is not of the form $2^m\times 5^n$ where m and n are non-negative integers.