Question

Simplification of radicals: $\sqrt{4+\sqrt5}-\sqrt{\frac{4+\sqrt{11}}{2}}$

score 130 · Answer 1 · 2026-03-22 08:25:37

130

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Simplification of radicals: $\sqrt{4+\sqrt5}-\sqrt{\frac{4+\sqrt{11}}{2}}$

Published on 22 Mar 2026 - 8:25

score 46 · Answer 2 · 2018-03-21 11:40:35

46

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Stuck on this square root conjugate problem

Published on 21 Mar 2018 - 11:40

score 62 · Answer 3 · 2018-03-21 17:38:36

62

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Solvable or not? If yes how?

Published on 21 Mar 2018 - 17:38

score 307 · Answer 4 · 2026-03-24 20:36:58

307

Views

Different ways to solve nested radicals with cubic roots

Published on 24 Mar 2026 - 20:36

score 448 · Answer 5 · 2018-03-24 22:13:58

448

Views

Alternative methods to solving system of equations

Published on 24 Mar 2018 - 22:13

score 318 · Answer 6 · 2026-03-25 04:42:53

318

Views

Find the rational number of a, b, c, solving $\sqrt[3]{\sqrt[3]{2}-1}=\sqrt[3]{a}+ \sqrt[3]{b}+\sqrt[3]{c}$

Published on 25 Mar 2026 - 4:42

score 102 · Answer 7 · 2018-03-26 00:32:54

102

Views

An Inequality Problem with square roots.

Published on 26 Mar 2018 - 0:32

score 112 · Answer 8 · 2026-03-25 04:42:58

112

Views

Let $a> 0, b> 0$. Prove that: $\frac{{{a}^{2}}}{b}+\frac{{{b}^{2}}}{a}+7\left( a+b \right)\ge 8\sqrt{2\left( {{a}^{2}}+{{b}^{2}} \right)}$

Published on 25 Mar 2026 - 4:42

score 456 · Answer 9 · 2026-03-25 03:03:45

456

Views

Use Ramanujan’s method to denest $\sqrt[3]{7\sqrt[3]{20}-1}$ and $\sqrt[3]{7\sqrt[3]{20}-19}$

Published on 25 Mar 2026 - 3:03

score 212 · Answer 10 · 2018-03-28 03:10:53

212

Views

Solve the system of equations $2x^{5}- 2x^{3}y- x^{2}y+ 10x^{3}+ y^{2}- 5y= 0$ ...

Published on 28 Mar 2018 - 3:10

score 24 · Answer 11 · 2018-03-28 20:07:04

24

Views

How would you derive an infinite radical expression for a trigonometric function?

Published on 28 Mar 2018 - 20:07

score 159 · Answer 12 · 2026-03-20 14:47:31

159

Views

Prove this Hard inequality to CS or AM-GM?

Published on 20 Mar 2026 - 14:47

score 1.2k · Answer 13 · 2026-03-22 15:55:38

1.2k

Views

Square root of unitary matrix

Published on 22 Mar 2026 - 15:55

score 116 · Answer 14 · 2026-03-24 22:08:18

116

Views

Using a cubic equation to prove a radical

Published on 24 Mar 2026 - 22:08

score 305 · Answer 15 · 2018-04-04 08:36:56

305

Views

Doubt on the $n$ distinct $n$th roots of a complex number

Published on 04 Apr 2018 - 8:36

List Question

Simplification of radicals: $\sqrt{4+\sqrt5}-\sqrt{\frac{4+\sqrt{11}}{2}}$

Stuck on this square root conjugate problem

Solvable or not? If yes how?

Different ways to solve nested radicals with cubic roots

Alternative methods to solving system of equations

Find the rational number of a, b, c, solving $\sqrt[3]{\sqrt[3]{2}-1}=\sqrt[3]{a}+ \sqrt[3]{b}+\sqrt[3]{c}$

An Inequality Problem with square roots.

Let $a> 0, b> 0$. Prove that: $\frac{{{a}^{2}}}{b}+\frac{{{b}^{2}}}{a}+7\left( a+b \right)\ge 8\sqrt{2\left( {{a}^{2}}+{{b}^{2}} \right)}$

Use Ramanujan’s method to denest $\sqrt[3]{7\sqrt[3]{20}-1}$ and $\sqrt[3]{7\sqrt[3]{20}-19}$

Solve the system of equations $2x^{5}- 2x^{3}y- x^{2}y+ 10x^{3}+ y^{2}- 5y= 0$ ...

How would you derive an infinite radical expression for a trigonometric function?

Prove this Hard inequality to CS or AM-GM?

Square root of unitary matrix

Using a cubic equation to prove a radical

Doubt on the $n$ distinct $n$th roots of a complex number

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