Question

Irrationality of $r\sqrt{5}$ for rational number $r$?

score 182 · Answer 1 · 2026-03-25 18:48:37

182

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Irrationality of $r\sqrt{5}$ for rational number $r$?

Published on 25 Mar 2026 - 18:48

score 44 · Answer 2 · 2018-10-15 22:47:19

44

Views

Measurable, bounded subset of $\mathbb{R}$ and irrational number

Published on 15 Oct 2018 - 22:47

score 82 · Answer 3 · 2026-03-25 18:45:48

82

Views

Proof by contradiction - am I correct?

Published on 25 Mar 2026 - 18:45

score 98 · Answer 4 · 2018-10-20 05:07:28

98

Views

Showing $\sum_{i=1}^nq_i\sqrt{p_i}+q_0$ is irrational for $q_0,...,q_n\in\mathbb{Q}$, $q_1,...,q_n\not=0$, and $p_i$ distinct prime

Published on 20 Oct 2018 - 5:07

score 95 · Answer 5 · 2018-10-20 11:48:32

95

Views

Is $2^\sqrt{2}$ is rational or irrational?

Published on 20 Oct 2018 - 11:48

score 43 · Answer 6 · 2018-10-20 20:02:15

43

Views

Why $(x^5+x)^{\frac{1}{3}}=x^\frac{5}{3}(1+\frac{1}{x^4})^{\frac{1}{3}}$?

Published on 20 Oct 2018 - 20:02

score 310 · Answer 7 · 2026-03-25 07:40:33

310

Views

Rational numbers in irrational bases

Published on 25 Mar 2026 - 7:40

score 581 · Answer 8 · 2026-03-26 19:19:08

581

Views

Prove that if $x$ is irrational, then $\frac{x+1}{x-1}$ is irrational

Published on 26 Mar 2026 - 19:19

score 80 · Answer 9 · 2018-10-22 04:09:33

80

Views

Irrational Number inside another Irrational Number

Published on 22 Oct 2018 - 4:09

score 62 · Answer 10 · 2018-10-24 05:43:10

62

Views

How to write the contrapositive of this statement..?

Published on 24 Oct 2018 - 5:43

score 62 · Answer 11 · 2026-03-25 18:48:15

62

Views

Is this particular subspace of $\mathbb R^4$ intersecting non-trivially a rational subspace?

Published on 25 Mar 2026 - 18:48

score 160 · Answer 12 · 2026-03-25 18:49:04

160

Views

A family of subspaces of $\mathbb R^4$ which does not intersect non-trivially a rational subspace

Published on 25 Mar 2026 - 18:49

score 211 · Answer 13 · 2026-03-26 19:17:02

211

Views

Is this a valid proof that $\sqrt{2}$ is irrational?

Published on 26 Mar 2026 - 19:17

score 149 · Answer 14 · 2026-03-26 04:53:50

149

Views

How to prove an irrational exponential number with its exponent divisors also leading to irrational exponential numbers

Published on 26 Mar 2026 - 4:53

score 1k · Answer 15 · 2026-03-25 12:15:26

1k

Views

proving transcendental numbers are irrational

Published on 25 Mar 2026 - 12:15

List Question

Irrationality of $r\sqrt{5}$ for rational number $r$?

Measurable, bounded subset of $\mathbb{R}$ and irrational number

Proof by contradiction - am I correct?

Showing $\sum_{i=1}^nq_i\sqrt{p_i}+q_0$ is irrational for $q_0,...,q_n\in\mathbb{Q}$, $q_1,...,q_n\not=0$, and $p_i$ distinct prime

Is $2^\sqrt{2}$ is rational or irrational?

Why $(x^5+x)^{\frac{1}{3}}=x^\frac{5}{3}(1+\frac{1}{x^4})^{\frac{1}{3}}$?

Rational numbers in irrational bases

Prove that if $x$ is irrational, then $\frac{x+1}{x-1}$ is irrational

Irrational Number inside another Irrational Number

How to write the contrapositive of this statement..?

Is this particular subspace of $\mathbb R^4$ intersecting non-trivially a rational subspace?

A family of subspaces of $\mathbb R^4$ which does not intersect non-trivially a rational subspace

Is this a valid proof that $\sqrt{2}$ is irrational?

How to prove an irrational exponential number with its exponent divisors also leading to irrational exponential numbers

proving transcendental numbers are irrational

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