Question

Difference of square roots of positive semidefinite matrices

score 91 · Answer 1 · 2026-03-26 14:20:57

91

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Difference of square roots of positive semidefinite matrices

Published on 26 Mar 2026 - 14:20

score 153 · Answer 2 · 2020-03-21 00:56:53

153

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how to use distributive property with $\sqrt{x-2}$?

Published on 21 Mar 2020 - 0:56

score 177 · Answer 3 · 2026-03-25 13:55:11

177

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One of my old inequality (very sharp)

Published on 25 Mar 2026 - 13:55

score 26 · Answer 4 · 2020-03-22 16:27:01

26

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Better Way to Prove this

Published on 22 Mar 2020 - 16:27

score 21 · Answer 5 · 2020-03-23 01:32:04

21

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Show that $Y \leq -2 \sigma \beta$ from two inequalities of differing degrees

Published on 23 Mar 2020 - 1:32

score 117 · Answer 6 · 2020-03-26 16:16:58

117

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Equation $x=\sqrt{2+\sqrt{2-\sqrt{2+x}}}$

Published on 26 Mar 2020 - 16:16

score 1k · Answer 7 · 2020-03-27 14:28:23

1k

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Find all real solutions of $\sqrt{x^2-p} + 2 \sqrt{x^2-1}=x$ for each value of $p$

Published on 27 Mar 2020 - 14:28

score 76 · Answer 8 · 2026-02-23 08:41:31

76

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As $n$ increases, the value of $\sqrt[ne^{\pi}]{\pi}$ approaches $1$. Is there a name for this result?

Published on 23 Feb 2026 - 8:41

score 68 · Answer 9 · 2026-03-26 19:02:51

68

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Find $m^3$ if $m=\sqrt[3]{a + \frac{a+8}{3}\sqrt{\frac{a-1}{3}}} + \sqrt[3]{a - \frac{a+8}{3}\sqrt\frac{a-1}{3}}$

Published on 26 Mar 2026 - 19:02

score 65 · Answer 10 · 2026-03-30 04:40:54

65

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what is the figure for $f(x)=|\sqrt{x}|$

Published on 30 Mar 2026 - 4:40

score 38 · Answer 11 · 2020-04-02 15:48:01

38

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Basic Algebra Issue

Published on 02 Apr 2020 - 15:48

score 128 · Answer 12 · 2020-04-02 17:08:17

128

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Cubic roots and difference of cubes in limits $\lim\limits_{n\to\infty} (\sqrt[3]{n^6-6n^4+1} - n^2)$

Published on 02 Apr 2020 - 17:08

score 48 · Answer 13 · 2020-04-04 07:21:19

48

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Prove $(a+\frac{bc}{a})(b+\frac{ca}{b})(c+\frac{ab}{c})\geq 4 \sqrt[3]{(a^3+b^3)(b^3+c^3)(c^3+a^3)}.$

Published on 04 Apr 2020 - 7:21

score 55 · Answer 14 · 2020-04-04 09:25:42

55

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Approximate squared root near a value

Published on 04 Apr 2020 - 9:25

score 1.3k · Answer 15 · 2026-03-28 07:38:37

1.3k

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What is the square root of the quadratic form $x^T A x$?

Published on 28 Mar 2026 - 7:38

List Question

Difference of square roots of positive semidefinite matrices

how to use distributive property with $\sqrt{x-2}$?

One of my old inequality (very sharp)

Better Way to Prove this

Show that $Y \leq -2 \sigma \beta$ from two inequalities of differing degrees

Equation $x=\sqrt{2+\sqrt{2-\sqrt{2+x}}}$

Find all real solutions of $\sqrt{x^2-p} + 2 \sqrt{x^2-1}=x$ for each value of $p$

As $n$ increases, the value of $\sqrt[ne^{\pi}]{\pi}$ approaches $1$. Is there a name for this result?

Find $m^3$ if $m=\sqrt[3]{a + \frac{a+8}{3}\sqrt{\frac{a-1}{3}}} + \sqrt[3]{a - \frac{a+8}{3}\sqrt\frac{a-1}{3}}$

what is the figure for $f(x)=|\sqrt{x}|$

Basic Algebra Issue

Cubic roots and difference of cubes in limits $\lim\limits_{n\to\infty} (\sqrt[3]{n^6-6n^4+1} - n^2)$

Prove $(a+\frac{bc}{a})(b+\frac{ca}{b})(c+\frac{ab}{c})\geq 4 \sqrt[3]{(a^3+b^3)(b^3+c^3)(c^3+a^3)}.$

Approximate squared root near a value

What is the square root of the quadratic form $x^T A x$?

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