How to tangle with a nested radical

DOI10.1007/BF03024284zbMath0816.11069WikidataQ30047897 ScholiaQ30047897MaRDI QIDQ1345068

Susan Landau

Publication date: 1 March 1995

Published in: The Mathematical Intelligencer (Search for Journal in Brave)

zbMATH Keywords

algorithmsGalois groupssplitting fieldsexpository paperdenesting radicals

Mathematics Subject Classification ID

Galois theory (11R32) Algebraic number theory computations (11Y40)

Related Items

Mulling over shapes, rules and numbers, Cubic Polynomials, Linear Shifts, and Ramanujan Simple Cubics, Ramanujan's explicit values for the classical theta‐function, Reducing radicals in the spirit of Euclid, On the denesting of nested square roots, \(\sqrt{2}+\sqrt{3}\): Four different views, Quartic fields and radical extensions.

Cites Work

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• Decreasing the nesting depth of expressions involving square roots
• Simplification of expressions involving radicals
• Solvability by radicals is in polynomial time
• A note on ``Zippel denesting
• Simplification of Nested Radicals
• Algebraische Abhängigkeit von Wurzeln
• On the Linear Independence of Fractional Powers of Integers