the product of a non - zero rational number and an irrational number can always be written as\na…

Brief Explanations:

A non - zero rational number is of the form $\frac{p}{q}$ ($p,q\in\mathbb{Z}$, $q\neq0$) and an irrational number cannot be written as a fraction. When we multiply them, the result is still an irrational number. Irrational numbers are non - repeating, non - terminating decimals.

Answer:

a non - repeating, non - terminating decimal.