Assume that the continued fraction representation for the irrational number x

Chapter 15, Problem 12

(choose chapter or problem)

Assume that the continued fraction representation for the irrational number x ultimatelybecomes periodic. Mimic the method used in Example 15.4 to prove thatx is of the formr + s,,/d, where r and s =j:. 0 are rational numbers and d > 0 is a nonsquare integer.

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