List questions from rational-numbers

Published on 27 Jul 2017 - 17:31

1.6k

Views

Prove $ \sqrt{2k}$ is irrational where $ k$ is an odd integer.

Published on 06 Apr 2026 - 11:14

101

Views

prove that $a<\frac{a+b}{2}<b$

Published on 31 Jul 2017 - 13:53

838

Views

An interesting way of expressing any real number using the harmonic series.

Published on 31 Jul 2017 - 18:27

168

Views

What does rational expression mean?

Published on 01 Apr 2026 - 7:48

647

Views

sum of rational terms in $\left(\sqrt{2}+\sqrt{27}+\sqrt{180}\right)^{10}$

Published on 06 Apr 2026 - 11:16

961

Views

Find an integer pair in a range satisfying a specific ratio

Published on 02 Apr 2026 - 20:29

319

Views

Which sets of natural numbers generate fractions which are dense in $\mathbb{R}_{+}$?

Published on 08 Aug 2017 - 10:12

60

Views

The rationals and their countability

Published on 10 Aug 2017 - 4:38

2.8k

Views

Find a basis of $\mathbb{Q}(\sqrt{2}, \sqrt[3]{2})$ over $\mathbb{Q}$

Published on 11 Aug 2017 - 19:55

109

Views

$[F:\mathbb{Q}]$ where $F$ is splitting field over $\mathbb{Q}$ of $f = x^{3} + x^{2} + 1$

Published on 11 Aug 2017 - 21:52

7.2k

Views

Why does Rudin say "the rational number system is inadequate as a field"?

Published on 13 Aug 2017 - 8:24

167

Views

Simple question about topologies

Published on 14 Aug 2017 - 8:43

158

Views

Dealing with Infinity Rational/Irrational Numbers

Published on 06 Apr 2026 - 11:12

215

Views

Prove that $\mathbb{Q}(\sqrt{a}+\sqrt[3]{b}) = \mathbb{Q}(\sqrt{a}, \sqrt[3]{b})$ without Galois theory

Published on 15 Aug 2017 - 20:59

List Question

The length of a gap between the rationals

Prove $ \sqrt{2k}$ is irrational where $ k$ is an odd integer.

prove that $a<\frac{a+b}{2}<b$

An interesting way of expressing any real number using the harmonic series.

What does rational expression mean?

sum of rational terms in $\left(\sqrt{2}+\sqrt{27}+\sqrt{180}\right)^{10}$

Find an integer pair in a range satisfying a specific ratio

Which sets of natural numbers generate fractions which are dense in $\mathbb{R}_{+}$?

The rationals and their countability

Find a basis of $\mathbb{Q}(\sqrt{2}, \sqrt[3]{2})$ over $\mathbb{Q}$

$[F:\mathbb{Q}]$ where $F$ is splitting field over $\mathbb{Q}$ of $f = x^{3} + x^{2} + 1$

Why does Rudin say "the rational number system is inadequate as a field"?

Simple question about topologies

Dealing with Infinity Rational/Irrational Numbers

Prove that $\mathbb{Q}(\sqrt{a}+\sqrt[3]{b}) = \mathbb{Q}(\sqrt{a}, \sqrt[3]{b})$ without Galois theory

Trending Questions

Popular # Hahtags

Popular Questions