Timeline for Sum of square roots of natural numbers
Current License: CC BY-SA 4.0
5 events
| when toggle format | what | by | license | comment | |
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| Jun 23 at 6:55 | history | edited | GH from MO | CC BY-SA 4.0 |
added 1 character in body
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| Jun 27, 2021 at 13:53 | comment | added | Random | Yes, that's true, but I think that the general statement is quite nice in and of itself. | |
| Jun 27, 2021 at 9:30 | comment | added | Wojowu | This would be much simpler if you didn't try to prove the more general statement - assume $n=\sum\sqrt{n_i}$ and let $k$ be the degree of the extension we are taking trace over. Traces give $\sum tr(\sqrt{n_i})=kn=k\sum\sqrt{n_i}$, and $tr(\sqrt{n_i})$ is either $0$ or $k\sqrt{n_i}$ depending on if $n_i$ is a square. To get equality, all $n_i$ must thus be squares. | |
| Jun 27, 2021 at 0:24 | vote | accept | Mohammad Ali Nematollahi | ||
| Jun 26, 2021 at 22:50 | history | answered | Random | CC BY-SA 4.0 |