\(\sqrt{2}+\sqrt{3}\): Four different views
type: Item
instance of: scholarly article
title: \(\sqrt{2}+\sqrt{3}\): Four different views
zbMATH Open document ID: 0922.11115
DOI: 10.1007/BF03025229
author: Susan Landau
published in: The Mathematical Intelligencer
publication date: 1999-06-01T00:00:00Z
review text: \(\sqrt 2+ \sqrt 3\) is used as a peg on which to hang information on four topics: Factoring polynomials; When does a polynomial have solvable zeros?; Polynomial decomposition; Denesting radicals. The author makes a welcome plea for the use of calculation and examples to ``light the way\dots for teaching, exploring and research''.
Mathematics Subject Classification ID: 11Y40
Mathematics Subject Classification ID: 11R06
Mathematics Subject Classification ID: 68W30
Mathematics Subject Classification ID: 11R09
zbMATH DE Number: 1279097
zbMATH Keywords: factoring polynomials
zbMATH Keywords: polynomial decomposition
zbMATH Keywords: denesting radicals
zbMATH Keywords: solvable zeros
zbMATH Keywords: calculation
reviewed by: H. J. Godwin
MaRDI profile type: Publication
cites work: Q5550483
cites work: Decreasing the nesting depth of expressions involving square roots
cites work: Polynomial decomposition algorithms
cites work: How to tangle with a nested radical
cites work: Simplification of Nested Radicals
cites work: Solvability by radicals is in polynomial time
cites work: Algorithms in Algebraic Number Theory
cites work: A polynomial bound for the orders of primitive solvable groups
cites work: A method for obtaining digital signatures and public-key cryptosystems
cites work: On Hensel factorization. I
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description: scientific article; zbMATH DE number 1279097