Product Rational F70050

1. **State the problem:** We need to determine if the product of two rational numbers is always rational. 2. **Recall the definition of rational numbers:** A rational number is any number that can be expressed as $$\frac{a}{b}$$ where $$a$$ and $$b$$ are integers and $$b \neq 0$$. 3. **Formula for product of two rational numbers:** If we have two rational numbers $$\frac{a}{b}$$ and $$\frac{c}{d}$$, their product is $$\frac{a}{b} \times \frac{c}{d} = \frac{a \times c}{b \times d}$$. 4. **Check if the product is rational:** Since $$a, b, c, d$$ are integers and $$b, d \neq 0$$, the product $$\frac{a \times c}{b \times d}$$ is also a ratio of two integers with a nonzero denominator. 5. **Conclusion:** Therefore, the product of two rational numbers is always rational. **Final answer:** True.