Question

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

score 185 · Answer 1 · 2026-05-14 08:54:45

185

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

Published on 14 May 2026 - 8:54

score 47 · Answer 2 · 2026-04-15 20:52:00

47

Views

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

Published on 15 Apr 2026 - 20:52

score 83 · Answer 3 · 2026-04-16 00:25:33

83

Views

Proof by contradiction - am I correct?

Published on 16 Apr 2026 - 0:25

score 101 · Answer 4 · 2026-04-17 10:30:47

101

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 17 Apr 2026 - 10:30

score 99 · Answer 5 · 2026-05-14 16:02:01

99

Views

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

Published on 14 May 2026 - 16:02

score 46 · Answer 6 · 2026-04-17 11:26:39

46

Views

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

Published on 17 Apr 2026 - 11:26

score 313 · Answer 7 · 2026-05-11 01:03:54

313

Views

Rational numbers in irrational bases

Published on 11 May 2026 - 1:03

score 582 · Answer 8 · 2026-04-15 07:51:45

582

Views

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

Published on 15 Apr 2026 - 7:51

score 83 · Answer 9 · 2026-04-16 07:41:41

83

Views

Irrational Number inside another Irrational Number

Published on 16 Apr 2026 - 7:41

score 65 · Answer 10 · 2026-04-12 10:26:59

65

Views

How to write the contrapositive of this statement..?

Published on 12 Apr 2026 - 10:26

score 64 · Answer 11 · 2026-04-12 20:16:49

64

Views

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

Published on 12 Apr 2026 - 20:16

score 162 · Answer 12 · 2026-04-12 14:06:11

162

Views

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

Published on 12 Apr 2026 - 14:06

score 213 · Answer 13 · 2026-04-13 11:59:30

213

Views

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

Published on 13 Apr 2026 - 11:59

score 151 · Answer 14 · 2026-04-12 07:41:49

151

Views

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

Published on 12 Apr 2026 - 7:41

score 1k · Answer 15 · 2026-05-10 15:00:19

1k

Views

proving transcendental numbers are irrational

Published on 10 May 2026 - 15:00

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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