List questions from irrational-numbers

Published on 08 Apr 2026 - 6:57

171

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Why am I getting extraneous solutions solving $\frac{1+\sqrt{1-x}}{x-\sqrt{1-x^{2}}}=2 x$?

Published on 22 Jun 2022 - 15:13

45

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Explaining a Property of the Constant e

Published on 30 Mar 2026 - 6:09

136

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How does completeness axiom provide the existence of irrational numbers?

Published on 08 Apr 2026 - 21:29

165

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Irrational equation $\left(x^{3}-3x+1\right)\sqrt{x^{2}-1}+x^{4}-3x^{2}+x+1=0$

Published on 11 Jul 2022 - 20:42

85

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Apparent contradiction in the definition of a Dedekind cuts

Published on 15 Jul 2022 - 23:31

70

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Proving Irrationality for powers

Published on 16 Jul 2022 - 1:44

59

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Proving identity for $\Bbb Q\setminus \{1\}$ with operation $a*b=a+b-ab$

Published on 23 Jul 2022 - 13:49

117

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Problem with Desmos and almost rational number

Published on 30 Mar 2026 - 8:00

82

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Is this proof of the irrationality of $\sqrt{3}$ valid?

Published on 24 Jul 2022 - 14:37

71

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prime concatenation

Published on 26 Jul 2022 - 17:43

116

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Prove that if $a+b\sqrt[3]{2} + c\sqrt[3]{4} = 0$ then $a=b=c=0$, where $a,b,c$ are rational numbers

Published on 02 Apr 2026 - 10:51

323

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Are the positive irrational numbers closed under addition?

Published on 08 Apr 2026 - 23:31

222

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Prove that $\sqrt 2 + \sqrt 3 + \sqrt 5$ is irrational.

Published on 11 Aug 2022 - 22:17

171

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Show that: $e^{\pi}-\pi^{e} >\frac12$ without calculator

Published on 29 Mar 2026 - 22:36

List Question

Can we calculate LCM of irrational numbers. Specifically for $\pi$

Why am I getting extraneous solutions solving $\frac{1+\sqrt{1-x}}{x-\sqrt{1-x^{2}}}=2 x$?

Explaining a Property of the Constant e

How does completeness axiom provide the existence of irrational numbers?

Irrational equation $\left(x^{3}-3x+1\right)\sqrt{x^{2}-1}+x^{4}-3x^{2}+x+1=0$

Apparent contradiction in the definition of a Dedekind cuts

Proving Irrationality for powers

Proving identity for $\Bbb Q\setminus \{1\}$ with operation $a*b=a+b-ab$

Problem with Desmos and almost rational number

Is this proof of the irrationality of $\sqrt{3}$ valid?

prime concatenation

Prove that if $a+b\sqrt[3]{2} + c\sqrt[3]{4} = 0$ then $a=b=c=0$, where $a,b,c$ are rational numbers

Are the positive irrational numbers closed under addition?

Prove that $\sqrt 2 + \sqrt 3 + \sqrt 5$ is irrational.

Show that: $e^{\pi}-\pi^{e} >\frac12$ without calculator

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