y = (By simplifying the product of rational number 'x' and an irrational number 'y') Where m and n are the integers and is a rational number. (Since x = is a rational number) Therefore, will be a rational number. y = ⇒ Irrational number = Rational number which is a contradictory statement. Therefore, multiplication of rational and irrational number will be irrational. Read more at Answer. Ya. Guru – https://answer. ya. guru/questions/5749650-now-consider -the-product-of-a-nonzero-rational- number-and-an. html