Question

Irreducible Quartic equation.

score 94 · Answer 1 · 2026-03-25 17:44:48

94

Views

Irreducible Quartic equation.

Published on 25 Mar 2026 - 17:44

score 199 · Answer 2 · 2026-03-25 16:09:38

199

Views

Given $t_{0}\in[0,1]$, what is the radical of Banach algebra $C^{1}[0,1]/\{f:f(t_{0})=f'(t_{0})=0\}$?

Published on 25 Mar 2026 - 16:09

score 141 · Answer 3 · 2019-11-28 19:57:08

141

Views

If $L/K$ is a non-trivial radical extension then there exists a prime $p$ and an $\alpha \in L$ such that $\alpha \notin K$ but $\alpha^p \in K$

Published on 28 Nov 2019 - 19:57

score 78 · Answer 4 · 2019-11-30 11:47:39

78

Views

Couldn't find cube root limit $\lim_{x\to1}{\frac{\sqrt[3]{x-1}}{\sqrt{x}-1}}$ with conjugate.

Published on 30 Nov 2019 - 11:47

score 63 · Answer 5 · 2019-11-30 15:42:07

63

Views

Intro to imaginary numbers: If $i$ = $\sqrt{-1}$ and $i^2 = -1$, then when do you use $i^2$ and when $-1$?

Published on 30 Nov 2019 - 15:42

score 97 · Answer 6 · 2019-11-30 16:01:46

97

Views

Limit ${\lim\limits_{x \to \frac{\pi}{2}}\Big(\tan^2{x}\Big(\sqrt{2\sin^2{x}+3\sin{x}+4}-\sqrt{\sin^2{x}+6\sin{x}+2}}\Big)\Big)$

Published on 30 Nov 2019 - 16:01

score 183 · Answer 7 · 2019-12-02 12:19:20

183

Views

If $M/K$ and $L/K$ are both radical extensions then $L/M$ is a radical extension

Published on 02 Dec 2019 - 12:19

score 165 · Answer 8 · 2019-12-02 14:17:15

165

Views

Kth root of $-1$

Published on 02 Dec 2019 - 14:17

score 130 · Answer 9 · 2026-03-29 10:08:50

130

Views

$\frac{1}{5}\big((4 + \sqrt{15})^{2n} + (4 - \sqrt{15})^{2n} + 8\big)$ is the sum of 3 consecutive squares

Published on 29 Mar 2026 - 10:08

score 67 · Answer 10 · 2019-12-06 03:06:29

67

Views

How do you know that a positive algebraic radical refers to a nonnegative root?

Published on 06 Dec 2019 - 3:06

score 246 · Answer 11 · 2019-12-06 07:36:43

246

Views

Is it possible to express roots of polynomials in terms of other roots

Published on 06 Dec 2019 - 7:36

score 251 · Answer 12 · 2026-03-26 14:42:21

251

Views

Do all real numbers have a simple infinite continued fraction representation over the integer square roots?

Published on 26 Mar 2026 - 14:42

score 1.5k · Answer 13 · 2026-03-28 08:38:08

1.5k

Views

simplify 2$\sqrt{3+\sqrt{5-\sqrt{13+\sqrt{48}}}}$

Published on 28 Mar 2026 - 8:38

score 140 · Answer 14 · 2019-12-08 17:44:06

140

Views

Radical is a prime ideal (prove)

Published on 08 Dec 2019 - 17:44

score 47 · Answer 15 · 2026-03-25 12:50:59

47

Views

If $x=1+\frac{1}{\sqrt{2}}+\frac{1}{\sqrt{3}}+...+\frac{1}{\sqrt{1000000}}$, what is the value of $\lfloor{x}\rfloor$?

Published on 25 Mar 2026 - 12:50

List Question

Irreducible Quartic equation.

Given $t_{0}\in[0,1]$, what is the radical of Banach algebra $C^{1}[0,1]/\{f:f(t_{0})=f'(t_{0})=0\}$?

If $L/K$ is a non-trivial radical extension then there exists a prime $p$ and an $\alpha \in L$ such that $\alpha \notin K$ but $\alpha^p \in K$

Couldn't find cube root limit $\lim_{x\to1}{\frac{\sqrt[3]{x-1}}{\sqrt{x}-1}}$ with conjugate.

Intro to imaginary numbers: If $i$ = $\sqrt{-1}$ and $i^2 = -1$, then when do you use $i^2$ and when $-1$?

Limit ${\lim\limits_{x \to \frac{\pi}{2}}\Big(\tan^2{x}\Big(\sqrt{2\sin^2{x}+3\sin{x}+4}-\sqrt{\sin^2{x}+6\sin{x}+2}}\Big)\Big)$

If $M/K$ and $L/K$ are both radical extensions then $L/M$ is a radical extension

Kth root of $-1$

$\frac{1}{5}\big((4 + \sqrt{15})^{2n} + (4 - \sqrt{15})^{2n} + 8\big)$ is the sum of 3 consecutive squares

How do you know that a positive algebraic radical refers to a nonnegative root?

Is it possible to express roots of polynomials in terms of other roots

Do all real numbers have a simple infinite continued fraction representation over the integer square roots?

simplify 2$\sqrt{3+\sqrt{5-\sqrt{13+\sqrt{48}}}}$

Radical is a prime ideal (prove)

If $x=1+\frac{1}{\sqrt{2}}+\frac{1}{\sqrt{3}}+...+\frac{1}{\sqrt{1000000}}$, what is the value of $\lfloor{x}\rfloor$?

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