Question

Representing zero as a rational number

score 4.3k · Answer 1 · 2026-03-22 06:26:44

4.3k

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Representing zero as a rational number

Published on 22 Mar 2026 - 6:26

score 104 · Answer 2 · 2026-03-24 22:07:35

104

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How can I convince students and teachers of my country that $0.\overline{9}=1$ and it is not approximation?

Published on 24 Mar 2026 - 22:07

score 176 · Answer 3 · 2026-03-17 03:42:39

176

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Density of n-th Power of Rationals in $\mathbb{Q}$

Published on 17 Mar 2026 - 3:42

score 100 · Answer 4 · 2026-03-22 16:43:10

100

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How to show $a^{\frac{1}{b}}-c^{\frac{1}{d}}$ is rational if and only if $a^{\frac{1}{b}}$ and $c^{\frac{1}{d}}$ are rational and not equal.

Published on 22 Mar 2026 - 16:43

score 3.2k · Answer 5 · 2018-02-28 16:41:39

3.2k

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Prove that ℚ is disconnected as a subset of ℝ

Published on 28 Feb 2018 - 16:41

score 756 · Answer 6 · 2018-03-01 04:24:34

756

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Proof that there exists a set in $\mathbb{Q}$ which is bounded above but has no least upper bound

Published on 01 Mar 2018 - 4:24

score 85 · Answer 7 · 2018-03-05 12:06:30

85

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Irrationality of a number represented by an infinite product, whose partial products are irrational

Published on 05 Mar 2018 - 12:06

score 68 · Answer 8 · 2018-03-05 21:55:32

68

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Cumulative distribution function for discrete distribution on $\mathbb{Q} \subseteq \mathbb{R}$.

Published on 05 Mar 2018 - 21:55

score 407 · Answer 9 · 2018-03-05 22:32:41

407

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How to show that if $x, y, z$ are rational numbers satisfying $(x + y + z)^3 = 9(x^2y + y^2z +z^2x)$, then $x = y = z$

Published on 05 Mar 2018 - 22:32

score 53 · Answer 10 · 2018-03-09 03:04:07

If a quartic equation has solutions in the rationals, can the quartic plus a rational constant also have solutions in the rationals?

score 412 · Answer 11 · 2018-03-14 16:43:15

412

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Cauchy Sequence of Rational Numbers - Prove another sequence is Cauchy

Published on 14 Mar 2018 - 16:43

score 65 · Answer 12 · 2018-03-14 17:51:48

65

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Given two rationals $s,p$, do they exist three rationals whose sum is $s$ and product is $p$?

Published on 14 Mar 2018 - 17:51

score 65 · Answer 13 · 2018-03-15 09:59:07

65

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Need help in simplifying this $y=\frac{\sqrt[3]{\sqrt{7}i-3}+\sqrt[3]{-\sqrt{7}i-3}}{2\sqrt[3]{2^2}}$

Published on 15 Mar 2018 - 9:59

score 266 · Answer 14 · 2026-03-22 04:47:29

266

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Factor groups of $\mathbb{Z}[1/p]$

Published on 22 Mar 2026 - 4:47

score 339 · Answer 15 · 2026-03-22 08:43:42

339

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A Rational Game (Question on Real Analysis)

Published on 22 Mar 2026 - 8:43

List Question

Representing zero as a rational number

How can I convince students and teachers of my country that $0.\overline{9}=1$ and it is not approximation?

Density of n-th Power of Rationals in $\mathbb{Q}$

How to show $a^{\frac{1}{b}}-c^{\frac{1}{d}}$ is rational if and only if $a^{\frac{1}{b}}$ and $c^{\frac{1}{d}}$ are rational and not equal.

Prove that ℚ is disconnected as a subset of ℝ

Proof that there exists a set in $\mathbb{Q}$ which is bounded above but has no least upper bound

Irrationality of a number represented by an infinite product, whose partial products are irrational

Cumulative distribution function for discrete distribution on $\mathbb{Q} \subseteq \mathbb{R}$.

How to show that if $x, y, z$ are rational numbers satisfying $(x + y + z)^3 = 9(x^2y + y^2z +z^2x)$, then $x = y = z$

If a quartic equation has solutions in the rationals, can the quartic plus a rational constant also have solutions in the rationals?

Cauchy Sequence of Rational Numbers - Prove another sequence is Cauchy

Given two rationals $s,p$, do they exist three rationals whose sum is $s$ and product is $p$?

Need help in simplifying this $y=\frac{\sqrt[3]{\sqrt{7}i-3}+\sqrt[3]{-\sqrt{7}i-3}}{2\sqrt[3]{2^2}}$

Factor groups of $\mathbb{Z}[1/p]$

A Rational Game (Question on Real Analysis)

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