List questions from irrational-numbers

Published on 26 Feb 2026 - 10:05

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Proof that $2\sqrt2 + \sqrt7$ is an irrational number

Published on 20 Mar 2026 - 22:33

441

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determine the frontier

Published on 18 Mar 2026 - 23:51

329

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Proving $\sqrt[4]{4}$ is irrational

Published on 26 Mar 2026 - 20:43

1.9k

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Prove that $\sqrt{45}$ is irrational (using Euclid’s Lemma)

Published on 19 Oct 2015 - 19:40

201

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Prove $\sqrt{2}+\sqrt[3]{5}$ is irrational

Published on 19 Oct 2015 - 20:39

1.2k

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What is the closest fraction (that isn't something like 31415.../1000...) that gets you pretty close to pi?

Published on 19 Oct 2015 - 22:38

122

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To prove that element $\frac{3}{n}+i\frac{4}{5}$ has an infinite order in $\mathbb{C}$ for any $n\in\mathbb{Z}\backslash \{0\}$

Published on 01 Mar 2026 - 9:47

52

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Geometrical progression from 1 to $\sqrt5$ to 3 by arithmetics

Published on 20 Oct 2015 - 14:02

270

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Proving $\frac{\arccos\frac15}\pi\not\in\Bbb Q$

Published on 20 Oct 2015 - 15:35

1.2k

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Is there any basis transformation under which all irrational numbers are rationals and vice-versa?

Published on 03 Apr 2026 - 0:52

371

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Prove that $x$ is rational iff $a=b=0$

Published on 22 Oct 2015 - 1:09

10.1k

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subtraction of two irrational numbers to get a rational

Published on 22 Oct 2015 - 6:58

2.9k

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Show that $a = b = c = 0$ for $a\sqrt{2} + b = c\sqrt{3}$ is

Published on 26 Oct 2015 - 7:03

482

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How to prove $e^{1/e}$ is irrational?

Published on 28 Mar 2026 - 0:44

List Question

Prove that $\sqrt{5}+1$ is irrational

Proof that $2\sqrt2 + \sqrt7$ is an irrational number

determine the frontier

Proving $\sqrt[4]{4}$ is irrational

Prove that $\sqrt{45}$ is irrational (using Euclid’s Lemma)

Prove $\sqrt{2}+\sqrt[3]{5}$ is irrational

What is the closest fraction (that isn't something like 31415.../1000...) that gets you pretty close to pi?

To prove that element $\frac{3}{n}+i\frac{4}{5}$ has an infinite order in $\mathbb{C}$ for any $n\in\mathbb{Z}\backslash \{0\}$

Geometrical progression from 1 to $\sqrt5$ to 3 by arithmetics

Proving $\frac{\arccos\frac15}\pi\not\in\Bbb Q$

Is there any basis transformation under which all irrational numbers are rationals and vice-versa?

Prove that $x$ is rational iff $a=b=0$

subtraction of two irrational numbers to get a rational

Show that $a = b = c = 0$ for $a\sqrt{2} + b = c\sqrt{3}$ is

How to prove $e^{1/e}$ is irrational?

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