2n
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No. The easiest counter-example to show that the product of two irrational numbers can be a rational number is that the product of √2 and √2 is 2. Likewise, the cube root of 2 is also an irrational number, but the product of 3√2, 3√2 and 3√2 is 2.
An even number
Reciprocals, like 2 and 1/2, have a product of 1.
4*(n + 2)
Twice that number!