question_answer

If x be a rational number and y be an irrational number, then:

A)  Both x + y and xy are necessarily irrational

B)  Both x + y and xy are necessarily rational

C)  xy is necessarily irrational, but x + y can be either rational or irrational

D)  x + y necessarily irrational, but xy can be either rational or irrational

E)  None of these