50) Let m be a rational number and n be an irrational number. (m)(n) = c, assume c is rational mn m = c m n = c m , so n is rational, contradicting the initial assumption. The proof shows that the product of an irrational and rational number is ______________. Explain. A) rational. Since an irrational number cannot equal a rational number. B) irrational. Since an irrational number cannot equal a rational number. C) rational. Since you can write it as the division of two rational numbers. D) irrational. Since you can write it as the division of two rational numbers.