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Q.

Which of the following is an irrational number?


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a

3. 3 ¯  

b

  3.763

c

3. 763 ¯   

d

  3.101100110001 ....... 

answer is D.

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Detailed Solution

Given some numbers and we have to find the irrational number.
3.101100110001…  , this is a non-terminating and non-repeating number.
So  3.101100110001…   is an irrational number.
3. 3 ¯  , Here, one digits after decimal that is 3 repeats regularly so it is a repeating decimal and it can be written in the form of p q  .
So, 3.3333   is a rational number.
3.763 this is a terminating decimal so this can be written in the form of p q   .
So, 3.763 is a rational number
3.763 Here, three digits after decimal that is 763 repeats regularly so it is a repeating decimal and it can be written in the form of  p q   .
So, 3.763763763 is a rational number 3.101100110001…... is an irrational number.
Therefore, the correct option is 4.
 
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Which of the following is an irrational number?