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3

Part of 1993 Chile National Olympiad

Problems(1)

(8r + 21)/(3r + 8) approximation of \sqrt7 that r (Chile NMO 1993 P3)

Source:

11/21/2021
Let r r be a positive rational. Prove that 8r+213r+8\frac{8r + 21}{3r + 8} is a better approximation to 7\sqrt7 that r r.
algebraFraction