Question

Does $\sqrt{2}+\sqrt{3}+\sqrt{5}\in\mathbb{Q}$ imply that $\sqrt{2}+\sqrt{3}-\sqrt{5}\in\mathbb{Q}$?

score 135 · Answer 1 · 2017-04-10 19:57:59

135

Views

Does $\sqrt{2}+\sqrt{3}+\sqrt{5}\in\mathbb{Q}$ imply that $\sqrt{2}+\sqrt{3}-\sqrt{5}\in\mathbb{Q}$?

Published on 10 Apr 2017 - 19:57

score 598 · Answer 2 · 2026-03-31 22:47:32

598

Views

Remarkable/unexpected rational numbers

Published on 31 Mar 2026 - 22:47

score 601 · Answer 3 · 2017-04-12 08:46:30

601

Views

Square root of $\sqrt{700} + \sqrt{280}$

Published on 12 Apr 2017 - 8:46

score 105 · Answer 4 · 2017-04-14 19:39:13

105

Views

Are there any continuous “totally rational” functions besides piecewise first-order polynomial or rational functions?

Published on 14 Apr 2017 - 19:39

score 423 · Answer 5 · 2017-04-14 21:42:03

423

Views

If an infinite sequence has no last element, why do we say the $\sqrt2$ is irrational?

Published on 14 Apr 2017 - 21:42

score 355 · Answer 6 · 2017-04-16 23:05:05

355

Views

Show that $g(x)=rf(x)$ for some rational number $r$

Published on 16 Apr 2017 - 23:05

score 108 · Answer 7 · 2026-04-03 01:54:02

108

Views

A Uniform Mapping From the Irrationals to the Rationals via Vitali

Published on 03 Apr 2026 - 1:54

score 104 · Answer 8 · 2017-04-19 03:46:10

104

Views

Another criterion for irrationality of real numbers?

Published on 19 Apr 2017 - 3:46

score 306 · Answer 9 · 2017-04-22 11:18:56

306

Views

Examples of $r^{\sqrt{2}}$ as an irrational number, for real numbers $0<r<1$

Published on 22 Apr 2017 - 11:18

score 215 · Answer 10 · 2026-03-27 06:52:03

215

Views

What are some numbers/families of numbers, asides from $\Phi$, $\pi$, and $e$ which have interesting algebraic properties?

Published on 27 Mar 2026 - 6:52

score 319 · Answer 11 · 2017-04-25 19:45:40

319

Views

Reverse lookup: decimal to irrational

Published on 25 Apr 2017 - 19:45

score 181 · Answer 12 · 2017-04-26 16:36:57

181

Views

How would I go about proving that for any two real numbers $a,b\in\mathbb{R}$ we may find a both a rational and irrational number between them.

Published on 26 Apr 2017 - 16:36

score 352 · Answer 13 · 2017-04-29 07:11:51

352

Views

In $\sqrt 2 =\frac ab$. Why must gdc(a, b) = 1 for $\sqrt 2$ $\in\mathbb{Q}$?

Published on 29 Apr 2017 - 7:11

score 32.5k · Answer 14 · 2017-05-02 00:31:53

32.5k

Views

What is the symbol for imaginary numbers?

Published on 02 May 2017 - 0:31

score 671 · Answer 15 · 2026-03-27 03:41:45

671

Views

Is this proof by contradiction that 9+13√3 is irrational correct?

Published on 27 Mar 2026 - 3:41

List Question

Does $\sqrt{2}+\sqrt{3}+\sqrt{5}\in\mathbb{Q}$ imply that $\sqrt{2}+\sqrt{3}-\sqrt{5}\in\mathbb{Q}$?

Remarkable/unexpected rational numbers

Square root of $\sqrt{700} + \sqrt{280}$

Are there any continuous “totally rational” functions besides piecewise first-order polynomial or rational functions?

If an infinite sequence has no last element, why do we say the $\sqrt2$ is irrational?

Show that $g(x)=rf(x)$ for some rational number $r$

A Uniform Mapping From the Irrationals to the Rationals via Vitali

Another criterion for irrationality of real numbers?

Examples of $r^{\sqrt{2}}$ as an irrational number, for real numbers $0<r<1$

What are some numbers/families of numbers, asides from $\Phi$, $\pi$, and $e$ which have interesting algebraic properties?

Reverse lookup: decimal to irrational

How would I go about proving that for any two real numbers $a,b\in\mathbb{R}$ we may find a both a rational and irrational number between them.

In $\sqrt 2 =\frac ab$. Why must gdc(a, b) = 1 for $\sqrt 2$ $\in\mathbb{Q}$?

What is the symbol for imaginary numbers?

Is this proof by contradiction that 9+13√3 is irrational correct?

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