2. Let X and y be rational and irrational numbers respectively. Are x + y and xy irrational? Justify your answer by an example for each.
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x + y = 8 + 1.12 = 9.12 which is irrational. These two examples clearly explains that the addition of a rational and an irrational number leads to an irrational number. Hence, x + y is an irrational number.
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