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Question

Product of a rational and an irrational number is always rational.


A

True

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B

False

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Solution

The correct option is B

False


The product of a rational and irrational number can be both rational or irrational.
The product of a non-zero rational number and an irrational number is always an irrational number.
For example, 2×2=22,
But, the product of zero and an irrational number is always zero.

For example, 0×2=0 which is rational.


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