is there a way to express any given root of an integer in a continued fraction? i.e. Sqrt = 1 + 1/(2 + Sqrt - 1) and the process can be continued infinitely to get a fraction that defines the radical with only integers. so my question is can this kind of thing be done with any square root? any integer root? next question is is there a way to determine the limit of the following: Sqrt[x^0*a+Sqrt[x*a+Sqrt[x^2*a+Sqrt[x^3*a...]]]] or a similar form for a progression of numbers?