Question
 `sqrt(sqrt(2+sqrt(2+sqrt(2)) ... prop)`  =
?Solution
let x = `sqrt(sqrt(2+sqrt(2+sqrt(2)) ... prop)` So x = √2+x So x2 = 2+x or x2-x-2 =0 or x = -1, 2. x cannot be negative so final answer is 2. Alternate Method : For these type of questions of positive infinite, just brake the number in the product of two consecutive number and answer will be bigger one. 2 = 1 `xx` 2 so answer is 2. 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`
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