3. 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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Solution : Yes ,(x+y) is necessarily an irrational number . if possible, let x+y =2 +√3 be a rational number. ... But, this contradicits the fact that √3 is anirrational number.
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