Identify each statement as always, sometimes, or never true. (MAFS.912.N-RN.2.3)

_______A. The sum of two rational numbers is rational.

_______ B. The sum of two irrational numbers is irrational.

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

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

________E. The product of two irrational numbers is irrational.