Question

let x be rational and y be irrational. is xy necessarily irrational? justify your answer

Answer 1

yes it must be irrational
ex. 2(rational)×√3(irrational)= 2√3 which is irrational

Answer 2

yes, xy should always be irrational no.
because when rational no.is multiplied with rational no it always gives rational no.
and when rational no. multiplied with irrational no it gives irrational no.