List questions from radicals

Published on 31 Mar 2026 - 21:56

123

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Convergence of $\sum_{n=1}^{\infty}\left( \sqrt[n]{n}-1 \right)^p$

Published on 05 Dec 2016 - 22:13

109

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Does $\lim_{n \to \infty} |a_n|^{\frac{1}{n}}=l$ imply $\lim_{n \to \infty} \frac{|a_{n+1}|}{|a_n|}=l$?

Published on 05 Dec 2016 - 23:18

222

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find the maximum of sum of roots without calculus

Published on 06 Dec 2016 - 5:16

678

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Complex Number $(a + bi)$ to Simplest Radical Form

Published on 26 Mar 2026 - 8:14

31.6k

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When does $\sqrt{a b} = \sqrt{a} \sqrt{b}$?

Published on 27 Mar 2026 - 16:46

49

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Is there an easier way to solve this system of equations?

Published on 26 Mar 2026 - 1:11

64

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Solving basic system of equations

Published on 08 Dec 2016 - 20:03

639

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proving root of limit for root of function

Published on 09 Dec 2016 - 11:25

169

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Prove the inequality $\sum\limits_{cyc}\sqrt{x+yz}\ge\sqrt{xyz}+\sqrt{x}+\sqrt{y}+\sqrt{z}$

Published on 30 Mar 2026 - 14:01

474

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Prove that $\sum\limits_{cyc}\frac{a}{\sqrt{a+3b}}\geq\sqrt{a+b+c+d}$

Published on 09 Dec 2016 - 16:06

786

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Greatest number in the sequence

Published on 09 Dec 2016 - 16:32

17.2k

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How to find $\sum_{i=1}^n\left\lfloor i\sqrt{2}\right\rfloor$ A001951 A Beatty sequence: a(n) = floor(n*sqrt(2)).

Published on 26 Mar 2026 - 6:01

151

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If $xy+xz+yz=3$ so $\sum\limits_{cyc}\left(x^2y+x^2z+2\sqrt{xyz(x^3+3x)}\right)\geq2xyz\sum\limits_{cyc}(x^2+2)$

Published on 25 Mar 2026 - 21:51

476

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How to compute $\sqrt{1+2015\sqrt{1 + 2018 \cdot 2016}}$

Published on 10 Dec 2016 - 19:48

List Question

How to solve this question related to limits of successions?

Convergence of $\sum_{n=1}^{\infty}\left( \sqrt[n]{n}-1 \right)^p$

Does $\lim_{n \to \infty} |a_n|^{\frac{1}{n}}=l$ imply $\lim_{n \to \infty} \frac{|a_{n+1}|}{|a_n|}=l$?

find the maximum of sum of roots without calculus

Complex Number $(a + bi)$ to Simplest Radical Form

When does $\sqrt{a b} = \sqrt{a} \sqrt{b}$?

Is there an easier way to solve this system of equations?

Solving basic system of equations

proving root of limit for root of function

Prove the inequality $\sum\limits_{cyc}\sqrt{x+yz}\ge\sqrt{xyz}+\sqrt{x}+\sqrt{y}+\sqrt{z}$

Prove that $\sum\limits_{cyc}\frac{a}{\sqrt{a+3b}}\geq\sqrt{a+b+c+d}$

Greatest number in the sequence

How to find $\sum_{i=1}^n\left\lfloor i\sqrt{2}\right\rfloor$ A001951 A Beatty sequence: a(n) = floor(n*sqrt(2)).

If $xy+xz+yz=3$ so $\sum\limits_{cyc}\left(x^2y+x^2z+2\sqrt{xyz(x^3+3x)}\right)\geq2xyz\sum\limits_{cyc}(x^2+2)$

How to compute $\sqrt{1+2015\sqrt{1 + 2018 \cdot 2016}}$

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