Work Step by Step
In order to test this, we will consider counterexamples. F sounds plausible, so we will start with g. 5 and 2 are rational numbers. 5 times 2 is 10, a rational number, so this is incorrect. Now, let's consider H. 1 plus $ \pi $ (an irrational number) is an irrational number, so this is incorrect. For I, we will consider the rational numbers 1 and 2. 1 plus 2 is 3, which is a rational number, so this is incorrect. Thus, F is the correct answer.