Question

Graphing Without using Calculus $f(x) = \sqrt{x + 2} - \sqrt{x - 2}$

score 160 · Answer 1 · 2018-09-14 16:32:24

160

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Graphing Without using Calculus $f(x) = \sqrt{x + 2} - \sqrt{x - 2}$

Published on 14 Sep 2018 - 16:32

score 91 · Answer 2 · 2018-09-18 07:30:14

91

Views

Proof that $\frac{1}{\sqrt{1 + x^2}} - \frac{x^2}{(x^2 + 1)^{3/2}} = \frac{1}{(x^2+1)^{3/2}}$

Published on 18 Sep 2018 - 7:30

score 88 · Answer 3 · 2018-09-18 09:02:19

If I assume that the variables are positive number, should I put absolute value when taking them of out of a square root?

score 183 · Answer 4 · 2026-03-25 01:40:04

183

Views

Prove the inequality $\sqrt{\frac{a^2+1}{b+c}}+\sqrt{\frac{b^2+1}{a+c}}+\sqrt{\frac{c^2+1}{a+b}}\ge 3$

Published on 25 Mar 2026 - 1:40

score 546 · Answer 5 · 2018-09-19 10:20:00

546

Views

Comparing the magnitudes of expressions of surds

Published on 19 Sep 2018 - 10:20

score 76 · Answer 6 · 2018-09-21 18:35:07

76

Views

Finding all the roots of $8^\frac{1}{3}$. Are my steps correct?

Published on 21 Sep 2018 - 18:35

score 364 · Answer 7 · 2018-09-22 07:07:30

364

Views

Prove by induction that $\sqrt{1}+\sqrt{2}+...+\sqrt{n} \geq \frac{2}{3}n\sqrt{n}$

Published on 22 Sep 2018 - 7:07

score 119 · Answer 8 · 2018-09-22 09:05:14

119

Views

Trigonometric system of 3 equations with many solutions in radical form.

Published on 22 Sep 2018 - 9:05

score 172 · Answer 9 · 2018-09-23 19:01:09

172

Views

General formula for the denominator of Taylor expansion of $\sqrt{1-x}$

Published on 23 Sep 2018 - 19:01

score 139 · Answer 10 · 2018-09-25 10:02:39

139

Views

Distance Formula with Negative Weights

Published on 25 Sep 2018 - 10:02

score 206 · Answer 11 · 2026-03-25 15:42:34

206

Views

For positve $a$, $b$, $c$, $d$ with $a+b+c+d\leq 1$, prove that $\sqrt[4]{(1-a^4)(1-b^4)(1-c^4)(1-d^4)}\geq255\cdot a b c d .$

Published on 25 Mar 2026 - 15:42

score 694 · Answer 12 · 2026-03-26 09:16:41

694

Views

Trace of the square root inside commutation property

Published on 26 Mar 2026 - 9:16

score 93 · Answer 13 · 2026-03-26 01:28:50

93

Views

What is the correct solution of $x^{2/2}$?

Published on 26 Mar 2026 - 1:28

score 297 · Answer 14 · 2026-03-25 23:42:32

297

Views

$f(x)=x^5-6x+2\in\Bbb Q[x]$ is not solvable by radicals implies it cannot have a root that lies in a radical extension of $\Bbb Q$

Published on 25 Mar 2026 - 23:42

score 25 · Answer 15 · 2018-09-26 07:37:01

25

Views

Prove $\forall n\in \mathbb{N} ,\,(ab)^{1/n} = a^{1/n} \times b^{1/n}$

Published on 26 Sep 2018 - 7:37

List Question

Graphing Without using Calculus $f(x) = \sqrt{x + 2} - \sqrt{x - 2}$

Proof that $\frac{1}{\sqrt{1 + x^2}} - \frac{x^2}{(x^2 + 1)^{3/2}} = \frac{1}{(x^2+1)^{3/2}}$

If I assume that the variables are positive number, should I put absolute value when taking them of out of a square root?

Prove the inequality $\sqrt{\frac{a^2+1}{b+c}}+\sqrt{\frac{b^2+1}{a+c}}+\sqrt{\frac{c^2+1}{a+b}}\ge 3$

Comparing the magnitudes of expressions of surds

Finding all the roots of $8^\frac{1}{3}$. Are my steps correct?

Prove by induction that $\sqrt{1}+\sqrt{2}+...+\sqrt{n} \geq \frac{2}{3}n\sqrt{n}$

Trigonometric system of 3 equations with many solutions in radical form.

General formula for the denominator of Taylor expansion of $\sqrt{1-x}$

Distance Formula with Negative Weights

For positve $a$, $b$, $c$, $d$ with $a+b+c+d\leq 1$, prove that $\sqrt[4]{(1-a^4)(1-b^4)(1-c^4)(1-d^4)}\geq255\cdot a b c d .$

Trace of the square root inside commutation property

What is the correct solution of $x^{2/2}$?

$f(x)=x^5-6x+2\in\Bbb Q[x]$ is not solvable by radicals implies it cannot have a root that lies in a radical extension of $\Bbb Q$

Prove $\forall n\in \mathbb{N} ,\,(ab)^{1/n} = a^{1/n} \times b^{1/n}$

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