Question

Radical Ideal for algebra

score 772 · Answer 1 · 2014-12-05 09:13:10

772

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Radical Ideal for algebra

Published on 05 Dec 2014 - 9:13

score 2.2k · Answer 2 · 2014-12-07 06:44:30

2.2k

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How to solve $x^{2/3}=4$?

Published on 07 Dec 2014 - 6:44

score 1.7k · Answer 3 · 2026-03-25 19:05:30

1.7k

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The cube of at least one irrational number is rational

Published on 25 Mar 2026 - 19:05

score 632 · Answer 4 · 2026-03-25 17:36:55

632

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Prove that $\sqrt{n^2 + 2}$ is irrational

Published on 25 Mar 2026 - 17:36

score 2.5k · Answer 5 · 2026-03-26 04:34:41

2.5k

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Every ideal contains a power of it's radical in a Noetherian ring.

Published on 26 Mar 2026 - 4:34

score 458 · Answer 6 · 2026-03-26 02:53:09

458

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Noetherian ring and radical

Published on 26 Mar 2026 - 2:53

score 1.2k · Answer 7 · 2014-12-12 21:05:45

1.2k

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Evaluate this Trigonometric Expression: $\sqrt[3]{\cos \frac{2\pi}{7}} + \sqrt[3]{\cos \frac{4\pi}{7}} + \sqrt[3]{\cos \frac{6\pi}{7}}$

Published on 12 Dec 2014 - 21:05

score 1.7k · Answer 8 · 2026-03-25 21:23:02

1.7k

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Something strange about $\sqrt{ 4+ \sqrt{ 4 + \sqrt{ 4-x}}}=x$ and its friends

Published on 25 Mar 2026 - 21:23

score 5.6k · Answer 9 · 2026-03-25 16:01:11

5.6k

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A reduction formula for $\int_0^1 x^n/\sqrt{9 - x^2}\,\mathrm dx$

Published on 25 Mar 2026 - 16:01

score 2.2k · Answer 10 · 2014-12-14 05:57:59

2.2k

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Integration of $1/(x\sqrt{25x^2-1})$

Published on 14 Dec 2014 - 5:57

score 872 · Answer 11 · 2026-03-27 09:48:06

872

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A little more on $\sqrt[3]{\cos\bigl(\tfrac{2\pi}7\bigr)}+\sqrt[3]{\cos\bigl(\tfrac{4\pi}7\bigr)}+\sqrt[3]{\cos\bigl(\tfrac{8\pi}7\bigr)}$

Published on 27 Mar 2026 - 9:48

score 1k · Answer 12 · 2014-12-16 19:50:21

1k

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To evaluate limit of sequence $\left(\left( 1 + \frac1n \right) \left( 1 + \frac2n \right)\cdots\left( 1 + \frac nn \right) \right)^{1/n}$

Published on 16 Dec 2014 - 19:50

score 441 · Answer 13 · 2014-12-17 07:48:57

441

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Proving $\frac{1}{\sqrt{1}}+\frac{1}{\sqrt{2}}+\frac{1}{\sqrt{3}}+\cdots+\frac{1}{\sqrt{n}}>2-\frac{2}{n}$ by induction for $n\geq 1$

Published on 17 Dec 2014 - 7:48

score 4.7k · Answer 14 · 2026-03-25 11:21:24

4.7k

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Greatest value of $f(x)= (x+1)^{1/3}-(x-1)^{1/3}$ on $(0,1)$

Published on 25 Mar 2026 - 11:21

score 267 · Answer 15 · 2014-12-23 12:35:22

267

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Systems of 2 equations in 2 variables: $\sqrt{x}+y=10$ and $x+\sqrt y=5$

Published on 23 Dec 2014 - 12:35

List Question

Radical Ideal for algebra

How to solve $x^{2/3}=4$?

The cube of at least one irrational number is rational

Prove that $\sqrt{n^2 + 2}$ is irrational

Every ideal contains a power of it's radical in a Noetherian ring.

Noetherian ring and radical

Evaluate this Trigonometric Expression: $\sqrt[3]{\cos \frac{2\pi}{7}} + \sqrt[3]{\cos \frac{4\pi}{7}} + \sqrt[3]{\cos \frac{6\pi}{7}}$

Something strange about $\sqrt{ 4+ \sqrt{ 4 + \sqrt{ 4-x}}}=x$ and its friends

A reduction formula for $\int_0^1 x^n/\sqrt{9 - x^2}\,\mathrm dx$

Integration of $1/(x\sqrt{25x^2-1})$

A little more on $\sqrt[3]{\cos\bigl(\tfrac{2\pi}7\bigr)}+\sqrt[3]{\cos\bigl(\tfrac{4\pi}7\bigr)}+\sqrt[3]{\cos\bigl(\tfrac{8\pi}7\bigr)}$

To evaluate limit of sequence $\left(\left( 1 + \frac1n \right) \left( 1 + \frac2n \right)\cdots\left( 1 + \frac nn \right) \right)^{1/n}$

Proving $\frac{1}{\sqrt{1}}+\frac{1}{\sqrt{2}}+\frac{1}{\sqrt{3}}+\cdots+\frac{1}{\sqrt{n}}>2-\frac{2}{n}$ by induction for $n\geq 1$

Greatest value of $f(x)= (x+1)^{1/3}-(x-1)^{1/3}$ on $(0,1)$

Systems of 2 equations in 2 variables: $\sqrt{x}+y=10$ and $x+\sqrt y=5$

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