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Q.

State whether the statement is true or false: 2 5   is a rational number.


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a

True

b

False 

answer is B.

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Detailed Solution

Now, we have the number as 2 5  .
It can be observed that it is in the form of a fraction, whose denominator i.e., 5   is an irrational number as it is a non-terminating and non-repeating decimal.
Now, as per the definition of a rational number, the denominator must be a non-zero integer.
But here, the denominator is not an integer but an irrational number.
So, 2 5   is an irrational number.
Hence, the given statement is false.
So, the correct option is 2.
 
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