Question

Which property would be used to show that the product of two rational is always rational

Answer 1

You multiply two rational numbers by multiplying numerators and denominators with each other. So, you have

$\dfrac{a}{b} \times \dfrac{c}{d} = \dfrac{ac}{bd}$

A rational number is a fraction where both numerator and denominator are integers. Since the product of two integers is an integer, the result fraction is also a rational number, because both $ac$ and $bd$ are integers.