Answer: The correct option is
(C) irrational because it is a non-terminating and non-repeating decimal.
Step-by-step explanation: We are to select the correct statement for the following number:
<u><em>Rational number:</em></u> a number is said to be rational if the digits after the decimal are either terminating or repeating.
<u><em>Irrational number:</em></u> a number is said to be irrational if the digits after the decimal are non-terminating and non-repeating.
Given number is
Since the digits after the decimal and neither terminating nor repeating, so the given number is<em> IRRATIONAL.</em>
<em>Thus, the number is irrational because it is a non-terminating and non-repeating decimal.</em>
Option (C) is CORRECT.