Question

1956 AHSME Question 23 on the quotient of an irrational number with a real number

score 73 · Answer 1 · 2022-05-02 14:01:12

73

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1956 AHSME Question 23 on the quotient of an irrational number with a real number

Published on 02 May 2022 - 14:01

score 120 · Answer 2 · 2026-03-31 17:05:53

120

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A pattern that leads to regular continued fractions of quadratic irrationals

Published on 31 Mar 2026 - 17:05

score 218 · Answer 3 · 2026-03-27 16:28:08

218

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If $\Big|x-\frac{p}{q}\Big|<\frac{1}{2q^2}$ then $p/q$ is necessarily one of the convergents : Extend the proof to irrational $x$

Published on 27 Mar 2026 - 16:28

score 31 · Answer 4 · 2026-04-02 18:11:58

31

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Position of specific value

Published on 02 Apr 2026 - 18:11

score 92 · Answer 5 · 2022-05-09 23:20:12

92

Views

For all natural numbers $n$, if $n$ is odd, then $\sqrt{15^n}$ is irrational.

Published on 09 May 2022 - 23:20

score 93 · Answer 6 · 2022-05-10 11:52:19

93

Views

Find $\sqrt{\frac{1}{2}-f(1)}+\dots+ \sqrt{\frac{1}{2}-f(99)}$

Published on 10 May 2022 - 11:52

score 45 · Answer 7 · 2022-05-11 10:58:03

45

Views

Solve for reals $[2022+x(2+\sqrt{x})][111-x(2+\sqrt{x})]=-52^3$

Published on 11 May 2022 - 10:58

score 121 · Answer 8 · 2026-04-05 17:59:33

121

Views

Why is this proof wrong? ( I proved the irrationality of $\pi$ using the most basic techniques so I suspect that it must have gone wrong somewhere)

Published on 05 Apr 2026 - 17:59

score 85 · Answer 9 · 2026-04-02 18:08:48

85

Views

Does a set of all decimal expansions of $\pi$ contains $\pi?$

Published on 02 Apr 2026 - 18:08

score 288 · Answer 10 · 2022-05-18 13:56:04

288

Views

Understanding a 'geometrical proof' of irrationality of √2

Published on 18 May 2022 - 13:56

score 166 · Answer 11 · 2022-05-24 07:20:06

166

Views

Is integer part of $e^n$ infinitely often even and odd?

Published on 24 May 2022 - 7:20

score 131 · Answer 12 · 2022-05-25 18:26:47

131

Views

Formal definition of Real Numbers

Published on 25 May 2022 - 18:26

score 262 · Answer 13 · 2026-03-27 14:55:16

262

Views

What are some techniques to prove that a set of numbers is rationally independent?

Published on 27 Mar 2026 - 14:55

score 42 · Answer 14 · 2022-06-13 11:12:51

42

Views

Proove verification: $\int_{0}^{1}I_{\omega \notin \mathbb{Q}}(w) d\mathbb{P(\omega )}=1$ using Borel Cantelli lemma

Published on 13 Jun 2022 - 11:12

score 943 · Answer 15 · 2022-06-15 12:46:18

943

Views

Is this alternative proof that $\sqrt 2$ is irrational sound?

Published on 15 Jun 2022 - 12:46

List Question

1956 AHSME Question 23 on the quotient of an irrational number with a real number

A pattern that leads to regular continued fractions of quadratic irrationals

If $\Big|x-\frac{p}{q}\Big|<\frac{1}{2q^2}$ then $p/q$ is necessarily one of the convergents : Extend the proof to irrational $x$

Position of specific value

For all natural numbers $n$, if $n$ is odd, then $\sqrt{15^n}$ is irrational.

Find $\sqrt{\frac{1}{2}-f(1)}+\dots+ \sqrt{\frac{1}{2}-f(99)}$

Solve for reals $[2022+x(2+\sqrt{x})][111-x(2+\sqrt{x})]=-52^3$

Why is this proof wrong? ( I proved the irrationality of $\pi$ using the most basic techniques so I suspect that it must have gone wrong somewhere)

Does a set of all decimal expansions of $\pi$ contains $\pi?$

Understanding a 'geometrical proof' of irrationality of √2

Is integer part of $e^n$ infinitely often even and odd?

Formal definition of Real Numbers

What are some techniques to prove that a set of numbers is rationally independent?

Proove verification: $\int_{0}^{1}I_{\omega \notin \mathbb{Q}}(w) d\mathbb{P(\omega )}=1$ using Borel Cantelli lemma

Is this alternative proof that $\sqrt 2$ is irrational sound?

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