Question

How do I find the derivative of $q=\sqrt{15r-r^3}$? What is the rule for derivatives of a radical?

score 278 · Answer 1 · 2026-04-13 02:50:14

278

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How do I find the derivative of $q=\sqrt{15r-r^3}$? What is the rule for derivatives of a radical?

Published on 13 Apr 2026 - 2:50

score 576 · Answer 2 · 2017-09-20 01:50:13

576

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Find $\lim\limits_{x\to 0} \frac{\sqrt{\ 1+x} - \sqrt{\ 1-x}}{\sqrt[3]{\ 1+x} - \sqrt[3]{\ 1-x}}$

Published on 20 Sep 2017 - 1:50

score 365 · Answer 3 · 2017-09-20 04:24:28

365

Views

If $x>y>0$ why is $\sqrt{x} > \sqrt {y}$?

Published on 20 Sep 2017 - 4:24

score 198 · Answer 4 · 2017-09-20 11:15:29

198

Views

Prove that $\sqrt[m]{r}∉ℚ(\sqrt[n]{q})$

Published on 20 Sep 2017 - 11:15

score 55 · Answer 5 · 2026-04-09 08:10:44

55

Views

Tricky operation involving complex numbers

Published on 09 Apr 2026 - 8:10

score 679 · Answer 6 · 2017-09-21 15:28:27

679

Views

How to show $\sqrt{\log(1+x)}\leq 1+\log (x^2)$ for $x\geq 1$?

Published on 21 Sep 2017 - 15:28

score 91 · Answer 7 · 2026-03-25 17:36:25

91

Views

An inequality in four variables

Published on 25 Mar 2026 - 17:36

score 374 · Answer 8 · 2017-09-22 16:44:10

374

Views

How can we find functions that satisfy $f(x\cdot y)=f(x)f(y)$?

Published on 22 Sep 2017 - 16:44

score 5.6k · Answer 9 · 2026-03-30 12:00:24

5.6k

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Why is $\sqrt[3]{18+5\sqrt{13}} + \sqrt[3]{18-5\sqrt{13}} = 3$?

Published on 30 Mar 2026 - 12:00

score 765 · Answer 10 · 2026-03-25 03:03:02

765

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Solve the radical equation $ x\sqrt{x^2+5} + (2x+1)\sqrt{4x^2+4x+6}=0.$

Published on 25 Mar 2026 - 3:03

score 94 · Answer 11 · 2026-04-12 17:03:41

94

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How to prove $\forall x\in \mathbb{R} :f(x)=\sqrt{x^2-2\sqrt2x+9}+\sqrt{x^2-4\sqrt2x+16}\geq 5$?

Published on 12 Apr 2026 - 17:03

score 4.6k · Answer 12 · 2026-04-12 19:13:51

4.6k

Views

The radical conjugate roots theorem

Published on 12 Apr 2026 - 19:13

score 97 · Answer 13 · 2026-04-10 23:02:18

97

Views

Simplifying Radical expressions

Published on 10 Apr 2026 - 23:02

score 421 · Answer 14 · 2017-09-26 17:37:11

421

Views

How to prove $\sqrt 2 x + \sqrt {2{x^2} + 2x + 1} + \sqrt {2{x^2} - 10x + 13} + \sqrt {2{x^2} - 22x + 73} \geq \sqrt{157}$?

Published on 26 Sep 2017 - 17:37

score 1.4k · Answer 15 · 2026-04-06 16:19:01

1.4k

Views

Find domain of the quotient of two square root functions

Published on 06 Apr 2026 - 16:19

List Question

How do I find the derivative of $q=\sqrt{15r-r^3}$? What is the rule for derivatives of a radical?

Find $\lim\limits_{x\to 0} \frac{\sqrt{\ 1+x} - \sqrt{\ 1-x}}{\sqrt[3]{\ 1+x} - \sqrt[3]{\ 1-x}}$

If $x>y>0$ why is $\sqrt{x} > \sqrt {y}$?

Prove that $\sqrt[m]{r}∉ℚ(\sqrt[n]{q})$

Tricky operation involving complex numbers

How to show $\sqrt{\log(1+x)}\leq 1+\log (x^2)$ for $x\geq 1$?

An inequality in four variables

How can we find functions that satisfy $f(x\cdot y)=f(x)f(y)$?

Why is $\sqrt[3]{18+5\sqrt{13}} + \sqrt[3]{18-5\sqrt{13}} = 3$?

Solve the radical equation $ x\sqrt{x^2+5} + (2x+1)\sqrt{4x^2+4x+6}=0.$

How to prove $\forall x\in \mathbb{R} :f(x)=\sqrt{x^2-2\sqrt2x+9}+\sqrt{x^2-4\sqrt2x+16}\geq 5$?

The radical conjugate roots theorem

Simplifying Radical expressions

How to prove $\sqrt 2 x + \sqrt {2{x^2} + 2x + 1} + \sqrt {2{x^2} - 10x + 13} + \sqrt {2{x^2} - 22x + 73} \geq \sqrt{157}$?

Find domain of the quotient of two square root functions

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