Question:
Which of the following is irrational?
(a) $0.14$
(b) $0.14 \overline{16}$
(c) $0 . \overline{1416}$
(d) $0.4014001400014$
Solution:
(d) An irrational number is non-terminating non-recurring which is $0.4014001400014 \ldots .$
Here, $0.14$ is terminating and $0.14 \overline{6}, . \overline{1416}$ are non-terminating recurring.