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If x is a rational number and y is an ir...

If `x` is a rational number and `y` is an irrational number, then (a) both `x\ +\ y\ a n d\ x y` are necessarily rational (b) both `x\ +\ y\ a n d\ x y` are necessarily irrational (c) `x y` is necessarily irrational, but `x\ +\ y` can be either rational or irrational (d) `x\ +\ y` is necessarily irrational, but `x y` can be either rational or irrational

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