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    Question

     `sqrt(sqrt(10+sqrt(10+sqrt(10)) ... prop)`   =

    ?
    A (1+√40)/2 Correct Answer Incorrect Answer
    B (1+√41)/2 Correct Answer Incorrect Answer
    C (2+√41)/2 Correct Answer Incorrect Answer
    D (1+√31)/2 Correct Answer Incorrect Answer

    Solution

    If the given number cannot be break in two consecutive numbers then for x= `sqrt(sqrt(N+sqrt(N+sqrt(N)) ... prop)` , use this shortcut ,  x =  `{1 + sqrt(4N+1)}/2` Here n = 10, x = `{1 + sqrt(4 xx 10+1)}/2` x= `{1 + sqrt(40+1)}/2` x = `{1 + sqrt(41)}/2`

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