Question

How to prove that $x^p-x-t=0$ does not have a radical solution in the field $F_p(t)$?

score 87 · Answer 1 · 2026-04-15 10:46:50

87

Views

How to prove that $x^p-x-t=0$ does not have a radical solution in the field $F_p(t)$?

Published on 15 Apr 2026 - 10:46

score 57 · Answer 2 · 2026-04-15 19:51:02

57

Views

Find, in terms of $\epsilon$, the smallest positive integer $n$ such that $|\sqrt{n}-\lfloor{\sqrt{n}}\rfloor-\frac12|<\epsilon$.

Published on 15 Apr 2026 - 19:51

score 80 · Answer 3 · 2026-04-14 16:23:25

80

Views

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

Published on 14 Apr 2026 - 16:23

score 511 · Answer 4 · 2026-04-13 18:21:35

511

Views

Find the sum of radicals without squaring, Is that impossible?

Published on 13 Apr 2026 - 18:21

score 185 · Answer 5 · 2026-04-17 01:38:43

185

Views

$\sqrt{a},~\sqrt{b}$ is irrational but $\sqrt{a}-\sqrt{b}\in\Bbb Q$, then they are equal

Published on 17 Apr 2026 - 1:38

score 73 · Answer 6 · 2026-04-13 12:54:16

73

Views

Algorithm to estimate $\sqrt{a}$ for given $a\in\mathbb{Z}^+$

Published on 13 Apr 2026 - 12:54

score 86 · Answer 7 · 2026-04-15 19:03:11

86

Views

Can we write square roots in a fraction separately? eg, $\sqrt{\frac{9-x^2}{x-2}}$ vs $\frac{\sqrt{9-x^2}}{\sqrt{x-2}}$

Published on 15 Apr 2026 - 19:03

score 249 · Answer 8 · 2026-04-16 03:56:27

249

Views

Let $f(x,y,z):= \sqrt{x+1}+\sqrt{y+2}+\sqrt{z+3}$, such that $f(x,y,z)=f(y,z,x)=f(z,x,y)$ holds. Prove that: $x=y=z$.

Published on 16 Apr 2026 - 3:56

score 141 · Answer 9 · 2026-04-11 08:59:45

141

Views

How can I find the formula of a (square root?) function when given the first term of a succession and its n+1 term?

Published on 11 Apr 2026 - 8:59

score 99 · Answer 10 · 2026-04-12 14:30:08

99

Views

Is there a way to compute an asymptotic formula of $\sum_{n\leq x}\lceil 2\sqrt{n} \rceil$?

Published on 12 Apr 2026 - 14:30

score 188 · Answer 11 · 2026-04-13 18:28:39

188

Views

Radical of Infinite Product of Primes

Published on 13 Apr 2026 - 18:28

score 132 · Answer 12 · 2026-04-12 19:17:30

132

Views

Inequality with too many square roots

Published on 12 Apr 2026 - 19:17

score 81 · Answer 13 · 2026-04-12 00:01:30

81

Views

What does the root of a number really mean?

Published on 12 Apr 2026 - 0:01

score 150 · Answer 14 · 2026-04-10 15:16:18

150

Views

Question about an equivalent statement of (strong) Hilbert Nullstellensatz

Published on 10 Apr 2026 - 15:16

score 218 · Answer 15 · 2026-04-17 06:22:43

218

Views

Real Solutions of the expression $\sqrt[2]{x+3-4\sqrt[2]{x-1}}+\sqrt[2]{x+8-6\sqrt[2]{x-1}}-1=0$

Published on 17 Apr 2026 - 6:22

List Question

How to prove that $x^p-x-t=0$ does not have a radical solution in the field $F_p(t)$?

Find, in terms of $\epsilon$, the smallest positive integer $n$ such that $|\sqrt{n}-\lfloor{\sqrt{n}}\rfloor-\frac12|<\epsilon$.

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

Find the sum of radicals without squaring, Is that impossible?

$\sqrt{a},~\sqrt{b}$ is irrational but $\sqrt{a}-\sqrt{b}\in\Bbb Q$, then they are equal

Algorithm to estimate $\sqrt{a}$ for given $a\in\mathbb{Z}^+$

Can we write square roots in a fraction separately? eg, $\sqrt{\frac{9-x^2}{x-2}}$ vs $\frac{\sqrt{9-x^2}}{\sqrt{x-2}}$

Let $f(x,y,z):= \sqrt{x+1}+\sqrt{y+2}+\sqrt{z+3}$, such that $f(x,y,z)=f(y,z,x)=f(z,x,y)$ holds. Prove that: $x=y=z$.

How can I find the formula of a (square root?) function when given the first term of a succession and its n+1 term?

Is there a way to compute an asymptotic formula of $\sum_{n\leq x}\lceil 2\sqrt{n} \rceil$?

Radical of Infinite Product of Primes

Inequality with too many square roots

What does the root of a number really mean?

Question about an equivalent statement of (strong) Hilbert Nullstellensatz

Real Solutions of the expression $\sqrt[2]{x+3-4\sqrt[2]{x-1}}+\sqrt[2]{x+8-6\sqrt[2]{x-1}}-1=0$

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