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Pankaj Paul posted an Question
March 03, 2020 • 20:30 pm 30 points
  • CSIR NET
  • Mathematical Sciences

How to show {m+n√2:m,n are integers} is not dense in r

How to show {m+n√2:m,n are integers} is not dense in R

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    Satpal singh best-answer

    answer is given in the attachment. the closuer of given set is not equals to R.

    cropped2281882397348738449.jpg
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    i want a brief justification

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    u can draw these numbers on real line and can easily see neighbourhood of these points

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