Question

Is product of rational irrational number is an irrational number?

Answer 1

yes if any product of rational no and if any on no is irrational then that whole product was irrational

Answer 2

"The product of a rational number and an irrational number is SOMETIMES irrational." 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.