Explanation
Step - 1: Checking option - A.
We have 0.54 in the first option.
0.54 is clearly a rational number as it can be written in the form pq as 54100.
Step - 2: Checking option - B.
We have 6.¯54 in the second option.
As 6.¯54 is a non - terminating recurring decimal, and as we know that
non - terminating recurring decimal are rational, therefore, it is also a rational number.
Step - 3: Checking option - C.
Here we have 0.¯1416 , so this is also a non - terminating recurring decimal.
Therefore, it also a rational number.
Step - 4: Checking option - D.
Here we have 0.4014001400014... which we can see is a non - terminating,
non - recurring decimal. Therefore, it is an irrational number.
Hennce, The decimal in option - D is an irrational number.
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