Let x be a rational number and y be an irrational number. Is x+y
necessarily an irrational number? Give an example in support of your answer.
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Yes ,(x+y) is necessarily an irrational number . if possible, let x+y =2 +√3 be a rational number. So, a is rational ⇒a2-74 is rational ⇒√3 is rational.
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