List questions from rational-numbers

Published on 10 May 2026 - 14:48

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Making a rational number from an irrational - Paul Erdos problem

Published on 14 Apr 2026 - 3:16

524

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$x$ is an irrational number such that $x^2 - 2x$ and $x^3 -5x$ are rational.

Published on 16 Apr 2026 - 12:38

136

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Is it true that if a polynomial $p(x)$ is irreducible over $\mathbb{Q}$ then it is also irreducible over $\mathbb{Z}$?

Published on 15 Apr 2026 - 13:44

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reason to change elliptic curves to normal form

Published on 11 Apr 2026 - 3:58

381

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Descartes' Rule of Signs, Factor and Rational Zeros Theorem

Published on 12 Apr 2026 - 10:18

74

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The rational sum

Published on 10 May 2026 - 15:40

55

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Is the set of numbers $x$ with $\frac{x}{\pi} = \frac{m}{n} $ dense in $[0, \pi]$?

Published on 14 Apr 2026 - 10:58

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Explain why the sum of a rational number and an irrational number is an irrational number.

Published on 16 Apr 2026 - 7:20

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How to check if $\sin\left(\frac{\pi}{3}\right)+\cos\left(\frac{\pi}{4}\right)$ is algebraic

Published on 02 May 2026 - 10:28

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Proof that continued fractions are finite for rationals?

Published on 10 May 2026 - 16:02

39

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A Particular Function from the Set of Unordered Pairs of Rational Numbers to the Rationals

Published on 14 Apr 2026 - 11:46

67

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Limiting set of scaled natural numbers $\mathbb{N}$

Published on 10 May 2026 - 19:20

38

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Question on Fraction Cancellation

Published on 10 Apr 2026 - 11:06

205

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Is $\mathbb Q$ a quotient of $\mathbb R[X]$?

Published on 14 Apr 2026 - 2:31

List Question

Completion of $\mathbb{Q}$ under trivial absolute value

Making a rational number from an irrational - Paul Erdos problem

$x$ is an irrational number such that $x^2 - 2x$ and $x^3 -5x$ are rational.

Is it true that if a polynomial $p(x)$ is irreducible over $\mathbb{Q}$ then it is also irreducible over $\mathbb{Z}$?

reason to change elliptic curves to normal form

Descartes' Rule of Signs, Factor and Rational Zeros Theorem

The rational sum

Is the set of numbers $x$ with $\frac{x}{\pi} = \frac{m}{n} $ dense in $[0, \pi]$?

Explain why the sum of a rational number and an irrational number is an irrational number.

How to check if $\sin\left(\frac{\pi}{3}\right)+\cos\left(\frac{\pi}{4}\right)$ is algebraic

Proof that continued fractions are finite for rationals?

A Particular Function from the Set of Unordered Pairs of Rational Numbers to the Rationals

Limiting set of scaled natural numbers $\mathbb{N}$

Question on Fraction Cancellation

Is $\mathbb Q$ a quotient of $\mathbb R[X]$?

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