Question

Which of the following is only true sometimes? A. The sum of a rational number and a rational number is rational. B. The sum of a rational number and an irrational number is irrational. C. The product of an irrational number and an irrational number is irrational. D. The product of a nonzero rational number and an irrational number is irrational.

Answer 1

The sum of a rational number and a rational number is rational. ALWAYS

The sum of a rational number and an irrational number is irrational.

The product of an irrational number and an irrational number is irrational. SOMETIMES

For example, the product of multiplicative inverses like √2 and 1/√2 will be 1

The product of a nonzero rational number and an irrational number is irrational.​