Question

Proof verification: There are infinitely many irrational numbers.

score 1.1k · Answer 1 · 2026-04-11 01:05:42

1.1k

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Proof verification: There are infinitely many irrational numbers.

Published on 11 Apr 2026 - 1:05

score 118 · Answer 2 · 2026-04-08 17:32:00

118

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Evaluating a simple proof about rational numbers

Published on 08 Apr 2026 - 17:32

score 37 · Answer 3 · 2026-03-29 10:07:52

37

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Special cases of solving a square root

Published on 29 Mar 2026 - 10:07

score 122 · Answer 4 · 2026-04-16 11:08:52

122

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For $\alpha$ irrational, prove that $F(x,y):=(x+\alpha\mod1,x+y\mod1)$, $T^{2}\to T^{2}$ preserves the Lebesgue measure.

Published on 16 Apr 2026 - 11:08

score 152 · Answer 5 · 2026-04-26 03:07:47

152

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Value of $2^{\sqrt{2}}$

Published on 26 Apr 2026 - 3:07

score 342 · Answer 6 · 2026-04-14 18:19:40

342

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Given $ x^5 + x = 10 $ show that A. It has only one root. B. The root lies between 1 and 2 and C. The root is irrational

Published on 14 Apr 2026 - 18:19

score 339 · Answer 7 · 2026-04-12 18:55:19

339

Views

Proving an inequality which leads to the proof of irrationality of $ \frac{1}{e}$

Published on 12 Apr 2026 - 18:55

score 450 · Answer 8 · 2026-04-10 05:55:15

450

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Is $e$ raised to an irrational number rational?

Published on 10 Apr 2026 - 5:55

score 309 · Answer 9 · 2026-04-15 23:18:45

309

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Sum of the series $\sum_{n=0}^{\infty} \lfloor n\sqrt{2} \rfloor x^n$?

Published on 15 Apr 2026 - 23:18

score 248 · Answer 10 · 2026-04-17 03:40:59

248

Views

Proof Phi is Irrational by using another Irrational Number

Published on 17 Apr 2026 - 3:40

score 7.6k · Answer 11 · 2026-04-11 08:10:24

7.6k

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Please help me spot the error in my "proof" that the sum of two irrational numbers must be irrational

Published on 11 Apr 2026 - 8:10

score 1.5k · Answer 12 · 2026-04-12 10:42:06

1.5k

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Is $\frac{1}{\alpha} \in \mathbb{Q}[\alpha]$ for irrational $\alpha$?

Published on 12 Apr 2026 - 10:42

score 312 · Answer 13 · 2026-04-12 22:07:56

312

Views

How to prove that $\sin 1^\circ$ is irrational?

Published on 12 Apr 2026 - 22:07

score 340 · Answer 14 · 2026-03-26 06:15:13

340

Views

If $s$ is transcendental, is $\frac{1}{s}$ transcendental?

Published on 26 Mar 2026 - 6:15

score 193 · Answer 15 · 2026-04-16 01:16:12

193

Views

If $x$ is irrational, is $2x - \frac{1}{x}$ irrational?

Published on 16 Apr 2026 - 1:16

List Question

Proof verification: There are infinitely many irrational numbers.

Evaluating a simple proof about rational numbers

Special cases of solving a square root

For $\alpha$ irrational, prove that $F(x,y):=(x+\alpha\mod1,x+y\mod1)$, $T^{2}\to T^{2}$ preserves the Lebesgue measure.

Value of $2^{\sqrt{2}}$

Given $ x^5 + x = 10 $ show that A. It has only one root. B. The root lies between 1 and 2 and C. The root is irrational

Proving an inequality which leads to the proof of irrationality of $ \frac{1}{e}$

Is $e$ raised to an irrational number rational?

Sum of the series $\sum_{n=0}^{\infty} \lfloor n\sqrt{2} \rfloor x^n$?

Proof Phi is Irrational by using another Irrational Number

Please help me spot the error in my "proof" that the sum of two irrational numbers must be irrational

Is $\frac{1}{\alpha} \in \mathbb{Q}[\alpha]$ for irrational $\alpha$?

How to prove that $\sin 1^\circ$ is irrational?

If $s$ is transcendental, is $\frac{1}{s}$ transcendental?

If $x$ is irrational, is $2x - \frac{1}{x}$ irrational?

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