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Q.

Which of the following is an irrational number?


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a

3.14

b

3. 14 ¯  

c

0

d

3.141141114…… 

answer is D.

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Detailed Solution

Given are four numbers and we need to identify which is the irrational number.
An irrational number is the one which is non-terminating and non-recurring.
So, from the given options, such a number is identified as 3.141141114……….
This number has no digits repeated and is also non-terminating.
Therefore, it is the irrational number from the listed four numbers above, as rest of the three numbers, i.e., 3.14, 3. 14 ¯  , and 0 are rational numbers.
Hence, the correct option is (4).
 
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Which of the following is an irrational number?