Which of the following is irrational?

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.

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