Q1Short answerExercise 1.2
Let x and y be rational and irrational numbers, respectively. Is x + y necessarily an irrational number? Give an example in support of your answer.
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Yes. Let x = 21, y = 2 be a rational number. Now x + y = 21 + 2 = 21 + 1.4142 ... = 22.4142 ... Which is non-terminating and non-recurring. Hence x + y is irrational.