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arXiv · 2403.04776

Denesting cubic radicals

Alberto Cavallo
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Abstract

We study in details how and when the radical $\sqrt[3]{a+b\sqrt p}$ with rational numbers $a,b$ and $p$ positive can be simplified, providing a complete answer to the problem; furthermore, a program that computes the result is also made available. The solution highlights an interesting connection with the cubic formula.

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Alberto Cavallo. 2024-02-29. Denesting cubic radicals. https://arxiv.org/abs/2403.04776

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