A number having non-terminating and recurring decimal expansion is –

By definition, a rational number is one which follows either of the following 2 conditions:

1. It can be expressed in form where p and q are integers (q ≠ 0).

2. Its decimal expansion is either terminating or non-terminating recurring.

Ex. – 0.35 (terminating decimal expansion) → Rational number

0.7777…. = (non-terminating but recurring i.e. the number does not terminate but its digits follow a pattern.) → Rational number

π = 3.14…… (Non-terminating non recurring) → Irrational number

Hence, the answer.