List questions from rational-numbers

Published on 03 Apr 2026 - 19:50

50k

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(22/7) is a rational number and (π) is irrational number

Published on 03 Apr 2026 - 19:51

283

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Is there a stable probability distribution on the rational numbers?

Published on 28 Mar 2026 - 4:33

774

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Continuity of a function defined on rationals

Published on 28 Nov 2015 - 12:22

222

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Uses of vector spaces over $\mathbb Q$

Published on 29 Mar 2026 - 16:49

67

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Finding multiplicative factors of $p\in[\sqrt{2},2)\cap\mathbb{Q}$

Published on 30 Nov 2015 - 20:51

72

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Is it possible to reduce Theory of Rationals to Theory of Natural Numbers?

Published on 04 Apr 2026 - 11:28

148

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Rational solutions $(a,b)$ to the equation $a\sqrt{2}+b\sqrt{3} = 2\sqrt{a} + 3\sqrt{b}$

Published on 10 Dec 2015 - 20:51

10.6k

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Proving f(x)=0 for all x in [a,b] when we only know that f is continuous and f(x)=0 when x is rational.

Published on 03 Apr 2026 - 21:28

314

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

Published on 03 Apr 2026 - 21:24

3.6k

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Proof: Is there a line in the xy plane that goes through only rational coordinates?

Published on 03 Apr 2026 - 21:30

8.7k

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Show that the set of polynomials with rational coefficients is countable.

Published on 14 Dec 2015 - 0:36

73

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Infinite Sets (real rational integers)

Published on 16 Dec 2015 - 22:11

3.8k

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Irreducibility of $f(x)=x^4+3x^3-9x^2+7x+27$

Published on 18 Dec 2015 - 14:01

47

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Proof that $M \;$is a field

Published on 20 Dec 2015 - 16:36

List Question

Can all irrational numbers be written in the form $u + v\sqrt{2}$, with $u$ and $v$ rational?

(22/7) is a rational number and (π) is irrational number

Is there a stable probability distribution on the rational numbers?

Continuity of a function defined on rationals

Uses of vector spaces over $\mathbb Q$

Finding multiplicative factors of $p\in[\sqrt{2},2)\cap\mathbb{Q}$

Is it possible to reduce Theory of Rationals to Theory of Natural Numbers?

Rational solutions $(a,b)$ to the equation $a\sqrt{2}+b\sqrt{3} = 2\sqrt{a} + 3\sqrt{b}$

Proving f(x)=0 for all x in [a,b] when we only know that f is continuous and f(x)=0 when x is rational.

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

Proof: Is there a line in the xy plane that goes through only rational coordinates?

Show that the set of polynomials with rational coefficients is countable.

Infinite Sets (real rational integers)

Irreducibility of $f(x)=x^4+3x^3-9x^2+7x+27$

Proof that $M \;$is a field

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