List questions from rational-numbers

Published on 25 Mar 2026 - 16:45

308

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If $a^4+b^4\in\mathbb Q$ and $a^3+b^3\in\mathbb Q$ and $a^2+b^2\in\mathbb Q$, prove that $a+b\in\mathbb Q$ and $ab\in\mathbb Q$.

Published on 22 May 2014 - 12:53

2.5k

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Subfields of $\mathbb{Q}$

Published on 22 May 2014 - 12:56

797

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Adding a natural number to a normalized fraction

Published on 28 Mar 2026 - 9:55

223

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How do I work out the aspect ratio from the resolution by hand?

Published on 28 May 2014 - 0:03

215

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How to find the limit $\lim_{x\to0}\frac{x\tan x-x\sin x}{x\sin^2x/\cos x}$

Published on 06 Jun 2014 - 20:24

65

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How to multiply two different numbers with different powers

Published on 26 Mar 2026 - 19:24

4.9k

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Question about the density of Q in R

Published on 11 Jun 2014 - 17:52

107

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A question on the equation $^qx=2$

Published on 25 Mar 2026 - 13:04

117

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Question on rounding off rule

Published on 23 Jun 2014 - 14:23

614

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Differentiation of a function $f:\mathbb{Q}\to \mathbb{Q}$(Rational Calculus)

Published on 23 Jun 2014 - 23:22

10.2k

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If $x$ is a rational number, then $1/x$ is a rational number

Published on 25 Jun 2014 - 3:08

1.5k

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Prove that a number is rational if and only if it has a finite or periodic representation on every base

Published on 25 Mar 2026 - 20:36

1.1k

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Zero vs Infinity relation type

Published on 26 Mar 2026 - 6:17

1.2k

Views

Is the fact that there are more irrational numbers than rational numbers useful?

Published on 07 Jul 2014 - 19:25

List Question

Rational approximation bound for real numbers in (0,1)

If $a^4+b^4\in\mathbb Q$ and $a^3+b^3\in\mathbb Q$ and $a^2+b^2\in\mathbb Q$, prove that $a+b\in\mathbb Q$ and $ab\in\mathbb Q$.

Subfields of $\mathbb{Q}$

Adding a natural number to a normalized fraction

How do I work out the aspect ratio from the resolution by hand?

How to find the limit $\lim_{x\to0}\frac{x\tan x-x\sin x}{x\sin^2x/\cos x}$

How to multiply two different numbers with different powers

Question about the density of Q in R

A question on the equation $^qx=2$

Question on rounding off rule

Differentiation of a function $f:\mathbb{Q}\to \mathbb{Q}$(Rational Calculus)

If $x$ is a rational number, then $1/x$ is a rational number

Prove that a number is rational if and only if it has a finite or periodic representation on every base

Zero vs Infinity relation type

Is the fact that there are more irrational numbers than rational numbers useful?

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