Question

Is there any general way of finding root of a irrational number? (eg, getting $\sqrt2+\sqrt3$ from $\sqrt{5+2\sqrt6}$)

score 78 · Answer 1 · 2026-03-31 09:28:41

78

Views

Is there any general way of finding root of a irrational number? (eg, getting $\sqrt2+\sqrt3$ from $\sqrt{5+2\sqrt6}$)

Published on 31 Mar 2026 - 9:28

score 114 · Answer 2 · 2022-08-31 18:29:46

114

Views

Is it valid to write irrational number written as an infinite sum of rational number?

Published on 31 Aug 2022 - 18:29

score 43 · Answer 3 · 2022-09-05 23:19:34

43

Views

prove that $2^{1/3}$ cannot be the root of a second degree polynomial of $\mathbb{Q}[X]$

Published on 05 Sep 2022 - 23:19

score 72 · Answer 4 · 2022-09-06 03:15:36

72

Views

Can the interleaved digits of 2 algebraic irrational numbers produce an algebraic number?

Published on 06 Sep 2022 - 3:15

score 44 · Answer 5 · 2022-09-13 07:00:38

44

Views

Why is the sum of (at least some) infinite series irrational when the set of rational numbers is closed w/respect to + - * and /

Published on 13 Sep 2022 - 7:00

score 65 · Answer 6 · 2022-09-19 14:17:27

65

Views

sum of reciprocals of square roots cannot be an integer

Published on 19 Sep 2022 - 14:17

score 98 · Answer 7 · 2022-09-20 02:06:49

98

Views

if $x^x$ is rational, is $x$ also rational?

Published on 20 Sep 2022 - 2:06

score 723 · Answer 8 · 2022-09-22 05:41:53

723

Views

Let $p$ be a prime number.Show that $\sqrt{p}$ is a irrational number.

Published on 22 Sep 2022 - 5:41

score 95 · Answer 9 · 2022-09-22 14:55:21

95

Views

Topology on $\mathbb{I}$

Published on 22 Sep 2022 - 14:55

score 125 · Answer 10 · 2022-09-26 14:33:08

125

Views

Is 0.999... irrational?

Published on 26 Sep 2022 - 14:33

score 372 · Answer 11 · 2022-10-01 06:16:02

372

Views

Give an example of a function $h:\mathbb{R}\backslash\mathbb{Q}\rightarrow\ \mathbb{Q}$

Published on 01 Oct 2022 - 6:16

score 175 · Answer 12 · 2022-10-01 15:56:23

175

Views

Proof that any upper bound of $(0, \sqrt 2]$ has to be greater than $\sqrt 2$ in the domain of rationals.

Published on 01 Oct 2022 - 15:56

score 66 · Answer 13 · 2026-03-30 00:21:25

66

Views

About the algebraic character of the solution of $\cos x=x$

Published on 30 Mar 2026 - 0:21

score 122 · Answer 14 · 2022-10-07 03:53:24

122

Views

Why does the sum of reciprocals of squares converge to an irrational number?

Published on 07 Oct 2022 - 3:53

score 179 · Answer 15 · 2022-10-09 17:50:13

179

Views

When are the roots of polynomials with rational coefficients rationally independent?

Published on 09 Oct 2022 - 17:50

List Question

Is there any general way of finding root of a irrational number? (eg, getting $\sqrt2+\sqrt3$ from $\sqrt{5+2\sqrt6}$)

Is it valid to write irrational number written as an infinite sum of rational number?

prove that $2^{1/3}$ cannot be the root of a second degree polynomial of $\mathbb{Q}[X]$

Can the interleaved digits of 2 algebraic irrational numbers produce an algebraic number?

Why is the sum of (at least some) infinite series irrational when the set of rational numbers is closed w/respect to + - * and /

sum of reciprocals of square roots cannot be an integer

if $x^x$ is rational, is $x$ also rational?

Let $p$ be a prime number.Show that $\sqrt{p}$ is a irrational number.

Topology on $\mathbb{I}$

Is 0.999... irrational?

Give an example of a function $h:\mathbb{R}\backslash\mathbb{Q}\rightarrow\ \mathbb{Q}$

Proof that any upper bound of $(0, \sqrt 2]$ has to be greater than $\sqrt 2$ in the domain of rationals.

About the algebraic character of the solution of $\cos x=x$

Why does the sum of reciprocals of squares converge to an irrational number?

When are the roots of polynomials with rational coefficients rationally independent?

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