List questions from radicals

Published on 01 Apr 2026 - 19:07

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Prove that if $({x+\sqrt{x^2+1}})({y+\sqrt{y^2+1}})=1$ then $x+y=0$

Published on 25 Jan 2015 - 11:38

125

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How to integrate $1/\sqrt{(1+x^2)^3}$?

Published on 26 Jan 2015 - 0:18

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Proving $\lim_{n\to\infty} a^{\frac{1}{n}}=1$ by definition of limit

Published on 27 Jan 2015 - 20:10

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Help with $\lim_{x\rightarrow +\infty} (x^2 - \sqrt{x^4 - x^2 + 1})$

Published on 29 Jan 2015 - 18:13

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$Rad(I)$ is an ideal of $R$

Published on 31 Jan 2015 - 3:26

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Find $\int_0^1 \frac{dx}{(1+x^n)^2\sqrt[n]{1+x^n}}$

Published on 01 Feb 2015 - 12:08

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Given a radical ideal, prove that the ideal cannot be prime

Published on 02 Apr 2026 - 20:32

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Find the value of : $\lim\limits_{n\to \infty} \sqrt [n]{\frac{(3n)!}{n!(2n+1)!}} $

Published on 02 Apr 2026 - 17:13

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How to solve $\sqrt{9-4\sqrt{5}}=$?

Published on 29 Mar 2026 - 11:43

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Proof that the square root of $5$ is not a natural number

Published on 26 Mar 2026 - 13:01

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Solving inequality involving square root and division by logarithm: $\sqrt n<\frac{n}{\log(n)}-2$

Published on 05 Feb 2015 - 5:35

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If $x = 3^{1/3} + 3^{2/3} + 3$, find the value of $x^3 - 9x^2 + 18x - 12$

Published on 05 Feb 2015 - 19:11

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Proof by Induction: $2(\sqrt{n+1} - \sqrt{n}) < \frac{1}{\sqrt{n}} < 2(\sqrt{n}-\sqrt{n-1})$

Published on 08 Feb 2015 - 20:02

1k

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Sum of $\lfloor k^{1/3} \rfloor$

Published on 01 Apr 2026 - 0:56

List Question

Why does $\sqrt{x} / y =\sqrt{x/y/y}$?

Prove that if $({x+\sqrt{x^2+1}})({y+\sqrt{y^2+1}})=1$ then $x+y=0$

How to integrate $1/\sqrt{(1+x^2)^3}$?

Proving $\lim_{n\to\infty} a^{\frac{1}{n}}=1$ by definition of limit

Help with $\lim_{x\rightarrow +\infty} (x^2 - \sqrt{x^4 - x^2 + 1})$

$Rad(I)$ is an ideal of $R$

Find $\int_0^1 \frac{dx}{(1+x^n)^2\sqrt[n]{1+x^n}}$

Given a radical ideal, prove that the ideal cannot be prime

Find the value of : $\lim\limits_{n\to \infty} \sqrt [n]{\frac{(3n)!}{n!(2n+1)!}} $

How to solve $\sqrt{9-4\sqrt{5}}=$?

Proof that the square root of $5$ is not a natural number

Solving inequality involving square root and division by logarithm: $\sqrt n<\frac{n}{\log(n)}-2$

If $x = 3^{1/3} + 3^{2/3} + 3$, find the value of $x^3 - 9x^2 + 18x - 12$

Proof by Induction: $2(\sqrt{n+1} - \sqrt{n}) < \frac{1}{\sqrt{n}} < 2(\sqrt{n}-\sqrt{n-1})$

Sum of $\lfloor k^{1/3} \rfloor$

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