List questions from irrational-numbers

Published on 15 Apr 2026 - 14:07

619

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Prove golden ratio is irrational

Published on 11 May 2026 - 5:17

107

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What is an example of a covering of the set of irrational numbers in the interval $[0,1]$, with a total length of $1$?

Published on 10 May 2026 - 20:03

626

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Irrational Numbers and ways to represent all of them

Published on 12 Apr 2026 - 12:36

134

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When can the equality be satisfied?

Published on 13 Apr 2026 - 21:52

205

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Is the sum $\sum_{n=1}^{\infty}\frac{1}{1+n^2}$ irrational?

Published on 13 Apr 2026 - 21:37

38

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Stuck on a prime addition proof. By way of contradiction.

Published on 11 Apr 2026 - 23:37

70

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Can the product of two different* and non-reciprocal* irrational numbers be rational?

Published on 11 Apr 2026 - 11:16

162

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Is $3^{\log_{10}(3)}$ irrational?

Published on 10 May 2026 - 19:02

93

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$n^\pi$ and $n^e$ for positive integer $n\ge2$

Published on 11 May 2026 - 2:59

101

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Can the b-ary power series of an irrational number evaluate to a rational number?

Published on 10 May 2026 - 15:48

298

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problem understanding Lagrange's continued fraction theorem

Published on 11 May 2026 - 9:59

104

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

Published on 14 Apr 2026 - 17:33

73

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How to prove it: $(-1)^{i\pi}$ is irrational?

Published on 12 Apr 2026 - 15:03

1.6k

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Justify that $\tan 1^\circ$ is an irrational number

Published on 14 May 2026 - 5:09

List Question

For integer $n>1$, can $\sum_{k=1}^{n}\sqrt{k}$ be a rational number? Can it be an integer?

Prove golden ratio is irrational

What is an example of a covering of the set of irrational numbers in the interval $[0,1]$, with a total length of $1$?

Irrational Numbers and ways to represent all of them

When can the equality be satisfied?

Is the sum $\sum_{n=1}^{\infty}\frac{1}{1+n^2}$ irrational?

Stuck on a prime addition proof. By way of contradiction.

Can the product of two different* and non-reciprocal* irrational numbers be rational?

Is $3^{\log_{10}(3)}$ irrational?

$n^\pi$ and $n^e$ for positive integer $n\ge2$

Can the b-ary power series of an irrational number evaluate to a rational number?

problem understanding Lagrange's continued fraction theorem

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

How to prove it: $(-1)^{i\pi}$ is irrational?

Justify that $\tan 1^\circ$ is an irrational number

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