Question

let x be a rational number and y be an irrational number is y
necessarily an irrational number? Give an example in support of your
answer.. ( please give correct answer)
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Answer 1

Answer:

Yes ,(x+y) is necessarily an irrational number . if possible, let x+y =2 +√3 be arational number. So, a is rational ⇒a2-74 is rational ⇒√3 is rational. But, this contradicits the fact that √3 is anirrational number.