Why is the product of two rational numbers always rational? select from the drop-down menus to correctly complete the proof. let a/b and c/d represent two rational numbers. this means a, b, c, and d are (integers, irrational numbers) , and b and d are not 0. the product of the numbers is ac/bd , where bd is not 0. both ac and bd are (integers, irrational numbers) , and bd is not 0. because ac/bd is the ratio of two (integers, irrational numbers) , the product is a rational number.