Subject :IMO Class : Class 8

If *x* is a rational number and *y* is an irrational number then

ABoth *x* + *y* and *xy* are necessarily irrational.

BBoth *x* + *y* and *xy* are necessarily rational.

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

D*x* + *y* is necessarily irrational, but *xy* can be either rational or irrational.