Question

An interesting property of nested radicals

score 235 · Answer 1 · 2026-03-28 15:26:32

235

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An interesting property of nested radicals

Published on 28 Mar 2026 - 15:26

score 225 · Answer 2 · 2026-03-13 03:57:20

225

Views

Determining the extraneous solution to a radical equation

Published on 13 Mar 2026 - 3:57

score 1.6k · Answer 3 · 2026-03-29 20:04:50

1.6k

Views

Lower Bound for the square root of the sum of squares

Published on 29 Mar 2026 - 20:04

score 126 · Answer 4 · 2026-04-01 01:23:54

126

Views

Arrange irrationals in ascending order:$ 2^{\sqrt{\frac{5}{3}}},3^{\sqrt{\frac{3}{5}}},5^{\sqrt{\frac{4}{15}}},29^{\frac{1}{\sqrt{15}}} $

Published on 01 Apr 2026 - 1:23

score 593 · Answer 5 · 2026-03-28 20:54:28

593

Views

Can $\cos(2\pi/17)$ be written as nested square roots only?

Published on 28 Mar 2026 - 20:54

score 144 · Answer 6 · 2026-04-01 01:24:00

144

Views

Evaluate $\sqrt{a+b+\sqrt{\left(2ab+b^2\right)}}$

Published on 01 Apr 2026 - 1:24

score 960 · Answer 7 · 2020-06-30 08:00:08

960

Views

Evaluating $2x^3-9x^2-10x+13$ for $x=3+\sqrt{5}$. Is there an efficient way to tell that this reduces to $1$?

Published on 30 Jun 2020 - 8:00

score 1.2k · Answer 8 · 2026-03-29 20:03:19

1.2k

Views

A simple estimation/approximation of square root

Published on 29 Mar 2026 - 20:03

score 54 · Answer 9 · 2026-03-30 10:53:18

54

Views

Upon square roots' difference

Published on 30 Mar 2026 - 10:53

score 94 · Answer 10 · 2026-04-02 09:38:00

94

Views

Fourier transform of $\sqrt{f(t)}$

Published on 02 Apr 2026 - 9:38

score 40 · Answer 11 · 2026-03-30 15:31:09

40

Views

Moduli of complex numbers

Published on 30 Mar 2026 - 15:31

score 926 · Answer 12 · 2020-07-06 14:55:12

926

Views

Why does $\sqrt a\sqrt b =\sqrt {ab}$ only hold when at least one of $a$ and $b$ is a positive number?

Published on 06 Jul 2020 - 14:55

score 2.7k · Answer 13 · 2026-03-28 20:57:32

2.7k

Views

Evaluate $\sqrt{x+\sqrt{{x^2}+\sqrt{{x^3}+\sqrt{{x^4}...}}}}$

Published on 28 Mar 2026 - 20:57

score 776 · Answer 14 · 2020-07-07 12:04:37

776

Views

How to solve $\omega^4-[(\frac{eB}{m})^2+2\omega_0^2]\omega^2+\omega_0^4=0$ in the simplest way

Published on 07 Jul 2020 - 12:04

score 156 · Answer 15 · 2020-07-09 18:31:43

156

Views

How can I prove that $16 \lt {1+\frac1{\sqrt2}+\frac1{\sqrt3}+\cdots+\frac1{\sqrt{80}}<18}$?

Published on 09 Jul 2020 - 18:31

List Question

An interesting property of nested radicals

Determining the extraneous solution to a radical equation

Lower Bound for the square root of the sum of squares

Arrange irrationals in ascending order:$ 2^{\sqrt{\frac{5}{3}}},3^{\sqrt{\frac{3}{5}}},5^{\sqrt{\frac{4}{15}}},29^{\frac{1}{\sqrt{15}}} $

Can $\cos(2\pi/17)$ be written as nested square roots only?

Evaluate $\sqrt{a+b+\sqrt{\left(2ab+b^2\right)}}$

Evaluating $2x^3-9x^2-10x+13$ for $x=3+\sqrt{5}$. Is there an efficient way to tell that this reduces to $1$?

A simple estimation/approximation of square root

Upon square roots' difference

Fourier transform of $\sqrt{f(t)}$

Moduli of complex numbers

Why does $\sqrt a\sqrt b =\sqrt {ab}$ only hold when at least one of $a$ and $b$ is a positive number?

Evaluate $\sqrt{x+\sqrt{{x^2}+\sqrt{{x^3}+\sqrt{{x^4}...}}}}$

How to solve $\omega^4-[(\frac{eB}{m})^2+2\omega_0^2]\omega^2+\omega_0^4=0$ in the simplest way

How can I prove that $16 \lt {1+\frac1{\sqrt2}+\frac1{\sqrt3}+\cdots+\frac1{\sqrt{80}}<18}$?

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