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Show that there is no positive integer, n for which `sqrt(n-1) + sqrt(n+1) ` is rational .

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Knowledge Check

  • The least positive integer n for which (sqrt(3)+i)^(n)=(sqrt(3)-i)^(n) is

    A
    3
    B
    4
    C
    6
    D
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    A
    3
    B
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    C
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    D
    12

  • The smallest positive integer n for which (1+i)^(n) is purely imaginary is

    A
    4
    B
    2
    C
    8
    D
    6

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