Question

Can u give an example to show that the product of a rational number and an irrational number may be a rational number?

Answer 1

If you multiply any irrational number by the rational number zero, the result will be zero, which is rational.

Any other situation, however, of a rational times an irrational will be irrational.

So the answer for your question is :

a × 0 = 0

'a' is any irrational number. It is multiplied by a rational number 0. The result is 0, which is rational.