# Euclidean Algorithm in the Ring of Algebraic Integers Generated by the Square Root of Five

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This Demonstration shows examples of arithmetic operations in the field , the field of numbers , where and are rational numbers. But instead of using the numbers 1 and , here we use 1 and the golden ratio .

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Contributed by: Izidor Hafner (February 2020)

Open content licensed under CC BY-NC-SA

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Reference

[1] I. Vidav, *Algebra*, Ljubljana: Mladinska knjiga, 1972 pp. 328–330.

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