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      Question

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

      ?
      A (-1+√47)/2 Correct Answer Incorrect Answer
      B (-1+√40)/2 Correct Answer Incorrect Answer
      C (-1+√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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