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Summary:
This note describes expressions involving nested square and cube roots that can be simplified to natural numbers and clarifies their relationship to the solutions of cubic equations.
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References:
[1] Bombelli, R.: Algebra, 1572. L’Algebra. Prima edizione integrale. Feltrinelli Editore, Milano, 1966.
[2] Cardano, G.: Ars Magna, 1545. Ars Magna or The Rules of Algebra. Dover, New York, 1993. MR 1254210
[3] Dlab, V., Fišerová, K.: Surdická vyjádření přirozených čísel I. Rozhledy matematicko-fyzikální, 92 (2017), 2, 1–9.
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