Question

Prove that $\sqrt[n]{x} \cdot \sqrt[n]{y} = \sqrt[n]{x \cdot y}$

score 677 · Answer 1 · 2016-03-16 20:20:58

677

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Prove that $\sqrt[n]{x} \cdot \sqrt[n]{y} = \sqrt[n]{x \cdot y}$

Published on 16 Mar 2016 - 20:20

score 751 · Answer 2 · 2016-03-17 04:07:25

751

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Find $\lim_{x \to 1}\frac{\sqrt{x^2+35}-6}{x-1}$

Published on 17 Mar 2016 - 4:07

score 1.3k · Answer 3 · 2026-03-29 15:35:55

1.3k

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Integral of $\frac{1}{x\sqrt{x-1}}$ using partial fractions.

Published on 29 Mar 2026 - 15:35

score 115 · Answer 4 · 2016-03-18 15:44:45

115

Views

Solve $ (13+x)^{1/4}+(4-x)^{1/4}=3$

Published on 18 Mar 2016 - 15:44

score 527 · Answer 5 · 2016-03-21 12:18:28

527

Views

How to simplify this surd: $\sqrt{1+\frac{\sqrt{3}}{2}}+\sqrt{1-\frac{\sqrt{3}}{2}}$

Published on 21 Mar 2016 - 12:18

score 877 · Answer 6 · 2026-04-07 20:09:34

877

Views

Elegantly Proving that $~\sqrt[5]{12}~-~\sqrt[12]5~>~\frac12$

Published on 07 Apr 2026 - 20:09

score 751 · Answer 7 · 2016-03-25 08:46:47

751

Views

Is this 7-th degree polynomial solvable?

Published on 25 Mar 2016 - 8:46

score 1.8k · Answer 8 · 2016-03-28 19:27:13

1.8k

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On Ramanujan's curious equality for $\sqrt{2\,(1-3^{-2})(1-7^{-2})(1-11^{-2})\cdots} $

Published on 28 Mar 2016 - 19:27

score 115 · Answer 9 · 2016-04-02 15:05:42

115

Views

Indefinite Integration of $x\sqrt{\frac{1-x}{1+x}}$

Published on 02 Apr 2016 - 15:05

score 660 · Answer 10 · 2016-04-04 13:16:06

660

Views

Find formula for $\frac{1}{\sqrt 1}+ \frac{1}{\sqrt 2}+\cdots+\frac{1}{\sqrt n}$

Published on 04 Apr 2016 - 13:16

score 25 · Answer 11 · 2016-04-04 16:58:16

25

Views

Defined integrals-Aplications

Published on 04 Apr 2016 - 16:58

score 76 · Answer 12 · 2016-04-06 16:11:50

76

Views

Simplification of surds $\frac{x}{\sqrt{x^2 - x^4}}$

Published on 06 Apr 2016 - 16:11

score 73 · Answer 13 · 2016-04-06 16:38:33

73

Views

Estimate $\sqrt{1.1}$ using Lagrangian formula and Taylor polynomials with error within 1/10^6

Published on 06 Apr 2016 - 16:38

score 486 · Answer 14 · 2026-03-27 01:45:04

486

Views

How can I prove $\sqrt{\sqrt2}$ to be irrational?

Published on 27 Mar 2026 - 1:45

score 1k · Answer 15 · 2026-03-29 06:00:37

1k

Views

Computing square roots with arithmetic-harmonic mean

Published on 29 Mar 2026 - 6:00

List Question

Prove that $\sqrt[n]{x} \cdot \sqrt[n]{y} = \sqrt[n]{x \cdot y}$

Find $\lim_{x \to 1}\frac{\sqrt{x^2+35}-6}{x-1}$

Integral of $\frac{1}{x\sqrt{x-1}}$ using partial fractions.

Solve $ (13+x)^{1/4}+(4-x)^{1/4}=3$

How to simplify this surd: $\sqrt{1+\frac{\sqrt{3}}{2}}+\sqrt{1-\frac{\sqrt{3}}{2}}$

Elegantly Proving that $~\sqrt[5]{12}~-~\sqrt[12]5~>~\frac12$

Is this 7-th degree polynomial solvable?

On Ramanujan's curious equality for $\sqrt{2\,(1-3^{-2})(1-7^{-2})(1-11^{-2})\cdots} $

Indefinite Integration of $x\sqrt{\frac{1-x}{1+x}}$

Find formula for $\frac{1}{\sqrt 1}+ \frac{1}{\sqrt 2}+\cdots+\frac{1}{\sqrt n}$

Defined integrals-Aplications

Simplification of surds $\frac{x}{\sqrt{x^2 - x^4}}$

Estimate $\sqrt{1.1}$ using Lagrangian formula and Taylor polynomials with error within 1/10^6

How can I prove $\sqrt{\sqrt2}$ to be irrational?

Computing square roots with arithmetic-harmonic mean

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