Question

Which of the following statements is true about the product of a non-zero rational number and an irrational number?

A.
The product of a non-zero rational number and an irrational number is always an irrational number.

B.
The product of a non-zero rational number and an irrational number is sometimes a rational number.

C.
The product of a non-zero rational number and an irrational number is never an irrational number.

D.
The product of a non-zero rational number and an irrational number is always a rational number.

Answer 1

A.

Explanation:

A rational number times, minus or plus a irrational number is and will always be an irrational number.