Question

Want to show that $g\in I$ where $I$ is an ideal, given the following conditions

score 59 · Answer 1 · 2015-03-03 12:27:04

59

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Want to show that $g\in I$ where $I$ is an ideal, given the following conditions

Published on 03 Mar 2015 - 12:27

score 40 · Answer 2 · 2015-03-03 13:45:19

40

Views

Roots in combination with exponents

Published on 03 Mar 2015 - 13:45

score 2.2k · Answer 3 · 2026-03-26 12:53:51

2.2k

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Is there a way, in general, to tell whether the nth root of a integer is rational?

Published on 26 Mar 2026 - 12:53

score 1.1k · Answer 4 · 2015-03-04 11:54:19

1.1k

Views

If x and y are both greater than or equal to 1, show that $|\sqrt{x}-\sqrt{y}|$ is less than or equal to $0.5| x-y |$

Published on 04 Mar 2015 - 11:54

score 755 · Answer 5 · 2015-03-05 20:39:16

755

Views

Infinitely nested radicals

Published on 05 Mar 2015 - 20:39

score 160 · Answer 6 · 2015-03-07 00:26:59

160

Views

Proving an inclusion related to algebraic sets and interpreting it

Published on 07 Mar 2015 - 0:26

score 1.1k · Answer 7 · 2026-03-28 13:21:35

1.1k

Views

Taking the cube root of a sum of radicals

Published on 28 Mar 2026 - 13:21

score 951 · Answer 8 · 2026-03-29 11:43:34

951

Views

Can the general septic be solved by infinitely nested radicals?

Published on 29 Mar 2026 - 11:43

score 202 · Answer 9 · 2015-03-07 19:10:29

202

Views

Proof of limit of $\left(\sqrt{n+1}-\sqrt{n}\right)\left(\sqrt{n+\frac{1}{2}}\right)=\frac{1}{2}$

Published on 07 Mar 2015 - 19:10

score 135 · Answer 10 · 2015-03-12 18:14:10

135

Views

$f(x) = k^n$ for infinitely many integers $k$

Published on 12 Mar 2015 - 18:14

score 126 · Answer 11 · 2015-03-15 10:42:38

126

Views

How to write $1/ \left(1+\sqrt 3+\sqrt 5+\sqrt{15}\right)$ with a rational denominator?

Published on 15 Mar 2015 - 10:42

score 262 · Answer 12 · 2026-04-02 00:13:41

262

Views

How to simplify $(a^2+ab+b^2)/(a+\sqrt{ab}+b)$

Published on 02 Apr 2026 - 0:13

score 780 · Answer 13 · 2026-03-26 14:41:58

780

Views

Irrationality of $\sqrt[n]2$

Published on 26 Mar 2026 - 14:41

score 197 · Answer 14 · 2026-02-24 19:09:54

197

Views

Difference of Square root and order relation

Published on 24 Feb 2026 - 19:09

score 407 · Answer 15 · 2026-04-02 20:57:19

407

Views

How to compute a lot of digits of $\sqrt{2}$ manually and quickly?

Published on 02 Apr 2026 - 20:57

List Question

Want to show that $g\in I$ where $I$ is an ideal, given the following conditions

Roots in combination with exponents

Is there a way, in general, to tell whether the nth root of a integer is rational?

If x and y are both greater than or equal to 1, show that $|\sqrt{x}-\sqrt{y}|$ is less than or equal to $0.5| x-y |$

Infinitely nested radicals

Proving an inclusion related to algebraic sets and interpreting it

Taking the cube root of a sum of radicals

Can the general septic be solved by infinitely nested radicals?

Proof of limit of $\left(\sqrt{n+1}-\sqrt{n}\right)\left(\sqrt{n+\frac{1}{2}}\right)=\frac{1}{2}$

$f(x) = k^n$ for infinitely many integers $k$

How to write $1/ \left(1+\sqrt 3+\sqrt 5+\sqrt{15}\right)$ with a rational denominator?

How to simplify $(a^2+ab+b^2)/(a+\sqrt{ab}+b)$

Irrationality of $\sqrt[n]2$

Difference of Square root and order relation

How to compute a lot of digits of $\sqrt{2}$ manually and quickly?

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