Final answer:
The product of two irrational numbers can be rational if and only if their product is rational.
Step-by-step explanation:
In order to show that the product of two irrational numbers can be rational, we need to find an example where the product of two irrational numbers results in a rational number. Let's examine each option:
a. 2π/5 x 2/π = 4/5 ∸ 0.8 (rational)
b. √2 x √ π = √(2π) (irrational)
c. 2/π x √2 = 2√2/π (irrational)
d. π x √5 = π√5 (irrational)
Therefore, the product 2π/5 x 2/π from option (a) shows that the product of two irrational numbers can be rational.