Question

If a rational polynomial has root $a + \sqrt[n]b$, what other roots must it have?

score 198 · Answer 1 · 2023-06-27 22:15:38

198

Views

If a rational polynomial has root $a + \sqrt[n]b$, what other roots must it have?

Published on 27 Jun 2023 - 22:15

score 28 · Answer 2 · 2026-04-02 08:44:02

28

Views

Kodaira Kunihiko's exercise problem.

Published on 02 Apr 2026 - 8:44

score 593 · Answer 3 · 2023-07-02 02:48:02

593

Views

Approximate Maclaurin series for $\sqrt x$

Published on 02 Jul 2023 - 2:48

score 130 · Answer 4 · 2026-02-23 05:14:24

130

Views

Reducing the general sextic to "cubic" form and other Tschirnhausen transformations of higher degrees

Published on 23 Feb 2026 - 5:14

score 62 · Answer 5 · 2026-03-25 09:15:39

62

Views

Removing four terms from the decic using a Tschirnhausen transformation?

Published on 25 Mar 2026 - 9:15

score 74 · Answer 6 · 2026-02-23 08:33:08

74

Views

On factoring the resolvent equations of solvable quintics, septics, etc?

Published on 23 Feb 2026 - 8:33

score 59 · Answer 7 · 2026-03-27 17:58:42

59

Views

Square root function hyperbolic estimator

Published on 27 Mar 2026 - 17:58

score 30 · Answer 8 · 2023-07-12 14:35:54

30

Views

Does the input-output relation definition hold for radical functions?

Published on 12 Jul 2023 - 14:35

score 91 · Answer 9 · 2026-03-29 19:15:06

91

Views

False formula of Galois and Abel fractal and the quintic

Published on 29 Mar 2026 - 19:15

score 44 · Answer 10 · 2023-07-15 20:04:28

44

Views

Is it possible (in general) to evaluate integrals of radicals not in the denominator?

Published on 15 Jul 2023 - 20:04

score 146 · Answer 11 · 2026-02-23 08:34:15

146

Views

On generalizing Ramanujan cosine sums to $\sqrt[5]{x_1}+\sqrt[5]{x_2}+\sqrt[5]{x_3}+\sqrt[5]{x_4}+\sqrt[5]{x_5} = \sqrt[5]{z}$?

Published on 23 Feb 2026 - 8:34

score 1.6k · Answer 12 · 2026-04-03 19:32:15

1.6k

Views

Approximating cube roots to high precision.

Published on 03 Apr 2026 - 19:32

score 92 · Answer 13 · 2026-03-28 02:09:16

92

Views

Approximations for $n$th roots

Published on 28 Mar 2026 - 2:09

score 103 · Answer 14 · 2023-07-27 16:42:17

103

Views

Simplifying $ \frac{\sqrt{2+\sqrt3}}{2} $ into $ \frac{\sqrt2+\sqrt6}{4} $

Published on 27 Jul 2023 - 16:42

score 3.5k · Answer 15 · 2026-03-28 05:21:46

3.5k

Views

Algebraically why must a single square root be done on all terms rather than individually?

Published on 28 Mar 2026 - 5:21

List Question

If a rational polynomial has root $a + \sqrt[n]b$, what other roots must it have?

Kodaira Kunihiko's exercise problem.

Approximate Maclaurin series for $\sqrt x$

Reducing the general sextic to "cubic" form and other Tschirnhausen transformations of higher degrees

Removing four terms from the decic using a Tschirnhausen transformation?

On factoring the resolvent equations of solvable quintics, septics, etc?

Square root function hyperbolic estimator

Does the input-output relation definition hold for radical functions?

False formula of Galois and Abel fractal and the quintic

Is it possible (in general) to evaluate integrals of radicals not in the denominator?

On generalizing Ramanujan cosine sums to $\sqrt[5]{x_1}+\sqrt[5]{x_2}+\sqrt[5]{x_3}+\sqrt[5]{x_4}+\sqrt[5]{x_5} = \sqrt[5]{z}$?

Approximating cube roots to high precision.

Approximations for $n$th roots

Simplifying $ \frac{\sqrt{2+\sqrt3}}{2} $ into $ \frac{\sqrt2+\sqrt6}{4} $

Algebraically why must a single square root be done on all terms rather than individually?

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