Answer
False.
$\text{The product of two irrational numbers is sometimes a rational number.}$
Work Step by Step
The given statement is false because the product of some rational numbers is a rational number.
One example is $\sqrt{18} \cdot \sqrt{2} = \sqrt{36}=6$.
One corrected statement would be:
$\textbf{The product of two irrational numbers is sometimes a rational number.}$
