Question

Approximating a number with $a^b$ or $\sqrt[b]{a}$ for $a,b \in \mathbb{N}$

score 66 · Answer 1 · 2026-04-17 11:42:01

66

Views

Approximating a number with $a^b$ or $\sqrt[b]{a}$ for $a,b \in \mathbb{N}$

Published on 17 Apr 2026 - 11:42

score 186 · Answer 2 · 2026-04-16 23:32:43

186

Views

Showing $\sqrt[5]{\frac{5\sqrt5+11}{2}}+\sqrt[5]{\frac{5\sqrt5-11}{2}}=\sqrt{5} $

Published on 16 Apr 2026 - 23:32

score 61 · Answer 3 · 2026-04-11 03:08:01

61

Views

Is there a name for polynomial roots that cannot be expressed in radicals?

Published on 11 Apr 2026 - 3:08

score 166 · Answer 4 · 2026-04-16 09:43:08

166

Views

On Jacobi theta functions and some curious evaluations

Published on 16 Apr 2026 - 9:43

score 232 · Answer 5 · 2026-04-13 17:49:54

232

Views

How do I prove that $\sqrt[5]{80\sqrt 5+176}=1+\sqrt 5$?

Published on 13 Apr 2026 - 17:49

score 116 · Answer 6 · 2026-04-17 15:49:57

116

Views

$\Bigl\lfloor{\sqrt{n}+1/2\Bigl\rfloor}=\Bigl\lfloor{\sqrt{n-3/4}+1/2\Bigl\rfloor}$ for $n \in \mathbb{N}$

Published on 17 Apr 2026 - 15:49

score 124 · Answer 7 · 2026-04-15 12:00:19

124

Views

How many whole numbers $n$ have a difference $|\sqrt{n}-10| < 1$?

Published on 15 Apr 2026 - 12:00

score 33 · Answer 8 · 2026-04-13 20:10:11

33

Views

Use the equivalence between representations and $kQ$-modules to find $\mathrm{rad}(P(i))$ and $\mathrm{top}(P(i))$

Published on 13 Apr 2026 - 20:10

score 376 · Answer 9 · 2026-04-17 03:01:11

376

Views

Solve $x\left(1+\sqrt{1-x^2}\right)=\sqrt{1-x^2}$

Published on 17 Apr 2026 - 3:01

score 140 · Answer 10 · 2026-04-17 00:46:01

140

Views

Solve the radical equation for all reals: $x\left(1+\sqrt{1-x^2}\right)=\sqrt{1+x^2}$

Published on 17 Apr 2026 - 0:46

score 176 · Answer 11 · 2026-04-15 15:56:47

176

Views

Find the real roots of the equation: $\sqrt [4]{x}-\sqrt [4]{2-x}=1$

Published on 15 Apr 2026 - 15:56

score 65 · Answer 12 · 2026-04-15 19:47:29

65

Views

A simple example showing that $r(a+b) \neq r(a) + r(b)$

Published on 15 Apr 2026 - 19:47

score 70 · Answer 13 · 2026-04-16 05:50:17

70

Views

Proving that $\operatorname {rad}(n) = (p_1 \dots p_l).$

Published on 16 Apr 2026 - 5:50

score 221 · Answer 14 · 2026-04-17 14:28:18

221

Views

On the solvable octic $x^8-44x-33 = 0$ and the tribonacci constant

Published on 17 Apr 2026 - 14:28

score 75 · Answer 15 · 2026-04-15 09:53:50

75

Views

Equivalence of Roots on the Exponential Level - $a^a$ ($n$ $times$) $ = b,$ $find$ $a$

Published on 15 Apr 2026 - 9:53

List Question

Approximating a number with $a^b$ or $\sqrt[b]{a}$ for $a,b \in \mathbb{N}$

Showing $\sqrt[5]{\frac{5\sqrt5+11}{2}}+\sqrt[5]{\frac{5\sqrt5-11}{2}}=\sqrt{5} $

Is there a name for polynomial roots that cannot be expressed in radicals?

On Jacobi theta functions and some curious evaluations

How do I prove that $\sqrt[5]{80\sqrt 5+176}=1+\sqrt 5$?

$\Bigl\lfloor{\sqrt{n}+1/2\Bigl\rfloor}=\Bigl\lfloor{\sqrt{n-3/4}+1/2\Bigl\rfloor}$ for $n \in \mathbb{N}$

How many whole numbers $n$ have a difference $|\sqrt{n}-10| < 1$?

Use the equivalence between representations and $kQ$-modules to find $\mathrm{rad}(P(i))$ and $\mathrm{top}(P(i))$

Solve $x\left(1+\sqrt{1-x^2}\right)=\sqrt{1-x^2}$

Solve the radical equation for all reals: $x\left(1+\sqrt{1-x^2}\right)=\sqrt{1+x^2}$

Find the real roots of the equation: $\sqrt [4]{x}-\sqrt [4]{2-x}=1$

A simple example showing that $r(a+b) \neq r(a) + r(b)$

Proving that $\operatorname {rad}(n) = (p_1 \dots p_l).$

On the solvable octic $x^8-44x-33 = 0$ and the tribonacci constant

Equivalence of Roots on the Exponential Level - $a^a$ ($n$ $times$) $ = b,$ $find$ $a$

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