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Question

Let a be a rational number and b be an irrational number. Is ab necessarily an irrational number?justify your answer with an example.

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Solution

The product of a non-zero rational number and an irrational number is always irrational _____________________________
Now as per question,

'a' may be zero(0)

Hence, it is not necessary that ab is an irrational.

{ Note: If a = 0 , Then ab = 0 which is rational }


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