Question

Proof verification: There are infinitely many irrational numbers.

score 1.1k · Answer 1 · 2019-11-15 03:17:46

1.1k

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Proof verification: There are infinitely many irrational numbers.

Published on 15 Nov 2019 - 3:17

score 115 · Answer 2 · 2019-11-15 04:05:05

115

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Evaluating a simple proof about rational numbers

Published on 15 Nov 2019 - 4:05

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 119 · Answer 4 · 2019-11-17 18:28:46

119

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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 17 Nov 2019 - 18:28

score 140 · Answer 5 · 2026-03-29 23:20:37

140

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

Published on 29 Mar 2026 - 23:20

score 340 · Answer 6 · 2019-11-23 08:40:31

340

Views

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 23 Nov 2019 - 8:40

score 336 · Answer 7 · 2019-11-25 05:59:42

336

Views

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

Published on 25 Nov 2019 - 5:59

score 448 · Answer 8 · 2026-03-30 07:07:25

448

Views

Is $e$ raised to an irrational number rational?

Published on 30 Mar 2026 - 7:07

score 306 · Answer 9 · 2019-11-28 01:29:39

306

Views

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

Published on 28 Nov 2019 - 1:29

score 244 · Answer 10 · 2026-03-25 15:38:50

244

Views

Proof Phi is Irrational by using another Irrational Number

Published on 25 Mar 2026 - 15:38

score 7.6k · Answer 11 · 2019-11-30 05:56:23

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 30 Nov 2019 - 5:56

score 1.5k · Answer 12 · 2019-12-04 03:15:55

1.5k

Views

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

Published on 04 Dec 2019 - 3:15

score 309 · Answer 13 · 2019-12-04 23:23:23

309

Views

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

Published on 04 Dec 2019 - 23:23

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 190 · Answer 15 · 2019-12-07 01:31:16

190

Views

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

Published on 07 Dec 2019 - 1:31

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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