Question

let X be rational and y be irrational is xy necessarily irrational justify your answer by an example

Answer 1

No because x can be 0 and any real number multiply by 0 the answer is always 0.
So we can say that multiplication of rational and irrational number can either be rational or irrational.

Answer 2

Answer: It is not necessary that XY will be irrational number bcoz if we multiply 0 with any irrational number then it will be rational number. Example 0×√3 = 0