Question

Can I use Euler's formula to prove a series converges to a rational value?

score 53 · Answer 1 · 2021-03-21 02:54:29

53

Views

Can I use Euler's formula to prove a series converges to a rational value?

Published on 21 Mar 2021 - 2:54

score 93 · Answer 2 · 2021-03-21 09:51:31

93

Views

If $x + y \in \mathbb Q$ and $x − 3 y \in \mathbb Q$, prove $x$ and $y$ are rational

Published on 21 Mar 2021 - 9:51

score 930 · Answer 3 · 2021-04-03 18:32:09

930

Views

Prove that $ 4 + 3 \sqrt 2 $ is irrational

Published on 03 Apr 2021 - 18:32

score 809 · Answer 4 · 2021-04-16 19:23:36

809

Views

Proving that $\sqrt[3] 7 -\sqrt 2$ is irrational.

Published on 16 Apr 2021 - 19:23

score 129 · Answer 5 · 2021-04-25 13:17:14

129

Views

Is $\frac{\text{area of circle with diameter $d$}}{\text{area of square with side $d$}}$ irrational?

Published on 25 Apr 2021 - 13:17

score 179 · Answer 6 · 2021-05-10 15:43:44

179

Views

If $\alpha$ is an irrational number, then the minimal polynomial of $\alpha$ over $\Bbb{Q}$ does not have a rational root?

Published on 10 May 2021 - 15:43

score 37 · Answer 7 · 2021-05-31 08:00:13

37

Views

Can an infinite product of rationals be rational if the partial products become increasingly irreducible?

Published on 31 May 2021 - 8:00

score 1.4k · Answer 8 · 2021-07-01 19:36:58

1.4k

Views

Novel (?) proof of the irrationality of $\sqrt3$

Published on 01 Jul 2021 - 19:36

score 75 · Answer 9 · 2021-08-10 11:32:12

75

Views

Is it possible for the rationality of a computable number to be unknowable?

Published on 10 Aug 2021 - 11:32

score 619 · Answer 10 · 2021-08-31 07:52:54

619

Views

Let $x^3+\frac{1}{x^3}$ and $x^4+\frac{1}{x^4}$ are rational numbers. Show that $x+\frac{1}{x}$ is rational.

Published on 31 Aug 2021 - 7:52

score 82 · Answer 11 · 2026-03-26 13:30:23

82

Views

Rationalizing an expression with different nth-roots in the denominator

Published on 26 Mar 2026 - 13:30

score 86 · Answer 12 · 2021-10-13 03:36:10

86

Views

Is it true or false for all instances of $m>0$, $\sqrt{m^2+1}$ is irrational?

Published on 13 Oct 2021 - 3:36

score 249 · Answer 13 · 2021-10-22 21:17:35

249

Views

Question in details of the proof of irrationality of $\zeta (3)$

Published on 22 Oct 2021 - 21:17

score 333 · Answer 14 · 2021-10-24 20:17:51

333

Views

Prove or disprove a claim regarding irrational numbers

Published on 24 Oct 2021 - 20:17

score 238 · Answer 15 · 2022-01-16 10:03:23

238

Views

Proof that there is no rational number $r$ satisfying $2^r=3$

Published on 16 Jan 2022 - 10:03

List Question

Can I use Euler's formula to prove a series converges to a rational value?

If $x + y \in \mathbb Q$ and $x − 3 y \in \mathbb Q$, prove $x$ and $y$ are rational

Prove that $ 4 + 3 \sqrt 2 $ is irrational

Proving that $\sqrt[3] 7 -\sqrt 2$ is irrational.

Is $\frac{\text{area of circle with diameter $d$}}{\text{area of square with side $d$}}$ irrational?

If $\alpha$ is an irrational number, then the minimal polynomial of $\alpha$ over $\Bbb{Q}$ does not have a rational root?

Can an infinite product of rationals be rational if the partial products become increasingly irreducible?

Novel (?) proof of the irrationality of $\sqrt3$

Is it possible for the rationality of a computable number to be unknowable?

Let $x^3+\frac{1}{x^3}$ and $x^4+\frac{1}{x^4}$ are rational numbers. Show that $x+\frac{1}{x}$ is rational.

Rationalizing an expression with different nth-roots in the denominator

Is it true or false for all instances of $m>0$, $\sqrt{m^2+1}$ is irrational?

Question in details of the proof of irrationality of $\zeta (3)$

Prove or disprove a claim regarding irrational numbers

Proof that there is no rational number $r$ satisfying $2^r=3$

Trending Questions

Popular # Hahtags

Popular Questions