Denesting cubic radicals
Fuente:
arXiv
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| Main Author: | |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866912049024466944 |
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| author | Cavallo, Alberto |
| author_facet | Cavallo, Alberto |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_04776 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Denesting cubic radicals Cavallo, Alberto General Mathematics 11R16 11R09 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. |
| title | Denesting cubic radicals |
| topic | General Mathematics 11R16 11R09 |
| url | https://arxiv.org/abs/2403.04776 |