Question

There are no rational $a, b, c $ with $a+b\sqrt{u}+c\sqrt{v} =\sqrt{uv} $

score 207 · Answer 1 · 2026-04-01 17:27:10

207

Views

There are no rational $a, b, c $ with $a+b\sqrt{u}+c\sqrt{v} =\sqrt{uv} $

Published on 01 Apr 2026 - 17:27

score 803 · Answer 2 · 2016-11-28 18:43:52

803

Views

Solving for unknown with square root as a term

Published on 28 Nov 2016 - 18:43

score 1.4k · Answer 3 · 2026-03-31 12:13:40

1.4k

Views

Real Analysis - Prove limit $\lim_{x\to 25} \sqrt x = 5$

Published on 31 Mar 2026 - 12:13

score 1.3k · Answer 4 · 2016-11-28 20:27:08

1.3k

Views

Reduction formula for integral of $\int \frac{1}{x^2 \sqrt{ax^2+bx+c}} dx $

Published on 28 Nov 2016 - 20:27

score 55 · Answer 5 · 2016-11-30 20:58:06

55

Views

If$ \sqrt{x^2}=|x|$, then why does $\sqrt{x^6}=x^3$ and not $|x^3|$?

Published on 30 Nov 2016 - 20:58

score 262 · Answer 6 · 2016-11-30 21:06:40

262

Views

Convergence of $\sum_{n=1}^{\infty}{\sqrt[n]{n}-1 \over n}$

Published on 30 Nov 2016 - 21:06

score 766 · Answer 7 · 2026-03-30 14:01:05

766

Views

Largest possible solution for equation

Published on 30 Mar 2026 - 14:01

score 65 · Answer 8 · 2026-03-31 10:10:19

65

Views

How to conjugate $\sqrt[m]{n+b}-\sqrt[m]{n}$, so we get $\frac{b}{\text{stuff}}$

Published on 31 Mar 2026 - 10:10

score 29 · Answer 9 · 2026-03-31 10:03:13

29

Views

Simplifying this radical expression?

Published on 31 Mar 2026 - 10:03

score 72 · Answer 10 · 2026-04-01 19:15:37

72

Views

Prove that $\sqrt{a_1}\pm \sqrt{a_2}\pm\ldots\pm \sqrt{a_n}$ is irrational for $a_1,\ldots,a_n\in\mathbb{N}$ and $a_i\neq m^2$

Published on 01 Apr 2026 - 19:15

score 346 · Answer 11 · 2016-12-03 01:34:18

346

Views

Efficient way to manually calculate the eigenvectors of radical eigenvalues.

Published on 03 Dec 2016 - 1:34

score 115 · Answer 12 · 2016-12-04 14:09:11

115

Views

How to calculate $\lim_{n \to \infty} \frac{1}{n}\sqrt[n] {(n+1)(n+2)...(n+n)}$?

Published on 04 Dec 2016 - 14:09

score 67 · Answer 13 · 2016-12-04 23:09:15

67

Views

Showing that $\sqrt{x^2 + a^2} - x \rightarrow 0$ as $x \rightarrow \infty$

Published on 04 Dec 2016 - 23:09

score 423 · Answer 14 · 2016-12-05 15:43:38

423

Views

Intermediate Radical Extension Paradox

Published on 05 Dec 2016 - 15:43

score 579 · Answer 15 · 2016-12-05 15:59:02

579

Views

How to solve this infinite radical

Published on 05 Dec 2016 - 15:59

List Question

There are no rational $a, b, c $ with $a+b\sqrt{u}+c\sqrt{v} =\sqrt{uv} $

Solving for unknown with square root as a term

Real Analysis - Prove limit $\lim_{x\to 25} \sqrt x = 5$

Reduction formula for integral of $\int \frac{1}{x^2 \sqrt{ax^2+bx+c}} dx $

If$ \sqrt{x^2}=|x|$, then why does $\sqrt{x^6}=x^3$ and not $|x^3|$?

Convergence of $\sum_{n=1}^{\infty}{\sqrt[n]{n}-1 \over n}$

Largest possible solution for equation

How to conjugate $\sqrt[m]{n+b}-\sqrt[m]{n}$, so we get $\frac{b}{\text{stuff}}$

Simplifying this radical expression?

Prove that $\sqrt{a_1}\pm \sqrt{a_2}\pm\ldots\pm \sqrt{a_n}$ is irrational for $a_1,\ldots,a_n\in\mathbb{N}$ and $a_i\neq m^2$

Efficient way to manually calculate the eigenvectors of radical eigenvalues.

How to calculate $\lim_{n \to \infty} \frac{1}{n}\sqrt[n] {(n+1)(n+2)...(n+n)}$?

Showing that $\sqrt{x^2 + a^2} - x \rightarrow 0$ as $x \rightarrow \infty$

Intermediate Radical Extension Paradox

How to solve this infinite radical

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