Question:
Which of the following is irrational?
(i) $0.14$
(ii) $0.14 \overline{16}$
(iii) $0 . \overline{1416}$
(iv) $0.1014001400014 \ldots$
Solution:
Given that
$0.14$
$0.141 \overline{6}$
$0 . \overline{416}$
$0.1014001400014 \ldots$
Here $0.1014001400014 \ldots .$ is non-terminating or non-repeating. So it is an irrational number.
Hence the correct option is $d$.
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