List questions from rational-numbers

Published on 17 Aug 2017 - 13:07

75

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Write complex number using rational numbers, square root and arithmetic operations

Published on 17 Aug 2017 - 15:56

1.1k

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How can I prove that $\frac{m^2+1}{\left|m+\frac12\right|}$ is a rational number for all $m \in \mathbb{Z}$?

Published on 17 Aug 2017 - 19:54

52

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using arithmetic ops, cubic root, and rationals to re-express complex number

Published on 20 Aug 2017 - 12:15

328

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Patterns appearing in irrational approximation graphs

Published on 29 Mar 2026 - 9:10

66

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Rational-radii circles packed along the x-axis

Published on 25 Mar 2026 - 6:02

1.5k

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Please help me check my proof that the transcendental numbers are dense in $\mathbb{R}$

Published on 28 Mar 2026 - 17:40

236

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Help understanding why converting repeating decimal to fraction works

Published on 24 Aug 2017 - 7:24

37

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Why if one approximation is too big, the other turns out to be too small, and vice-versa?

Published on 06 Apr 2026 - 11:18

447

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Why is $\mathbb{Q}$ dense in $\mathbb{R}$?

Published on 30 Aug 2017 - 9:11

834

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Finding ALL rational solutions to a diophantine equation

Published on 01 Sep 2017 - 0:37

1.8k

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Find the square root of $14+6\sqrt5 $

Published on 30 Mar 2026 - 11:58

357

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Classification of all subgroups of $\langle\Bbb Q,+\rangle$

Published on 03 Sep 2017 - 21:47

6.2k

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Is it possible to construct a strictly monotonic sequence of all rational numbers?

Published on 05 Sep 2017 - 4:49

70

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Queer Diophantine Equation

Published on 07 Sep 2017 - 9:31

List Question

A proof about rational numbers

Write complex number using rational numbers, square root and arithmetic operations

How can I prove that $\frac{m^2+1}{\left|m+\frac12\right|}$ is a rational number for all $m \in \mathbb{Z}$?

using arithmetic ops, cubic root, and rationals to re-express complex number

Patterns appearing in irrational approximation graphs

Rational-radii circles packed along the x-axis

Please help me check my proof that the transcendental numbers are dense in $\mathbb{R}$

Help understanding why converting repeating decimal to fraction works

Why if one approximation is too big, the other turns out to be too small, and vice-versa?

Why is $\mathbb{Q}$ dense in $\mathbb{R}$?

Finding ALL rational solutions to a diophantine equation

Find the square root of $14+6\sqrt5 $

Classification of all subgroups of $\langle\Bbb Q,+\rangle$

Is it possible to construct a strictly monotonic sequence of all rational numbers?

Queer Diophantine Equation

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