List questions from radicals

Published on 04 Apr 2026 - 6:10

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Square root of a prime is irrational

Published on 26 Mar 2026 - 8:04

551

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

Published on 01 Apr 2026 - 8:55

238

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Given the positive numbers $a, b, c$. Prove that $\frac{a}{\sqrt{a^2+1}}+\frac{b}{\sqrt{b^2+1}}+\frac{c}{\sqrt{c^2+1}}\le \frac{3}{2}$

Published on 26 Mar 2026 - 2:57

134

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How to validate the following inequality?

Published on 16 Feb 2017 - 7:04

48

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Inequality $\sqrt{x^2+y^2+z^2+2yz}\leq a \sqrt{x^2+y^2}+b|z|,$

Published on 01 Apr 2026 - 3:09

38

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Inequality involving irreducible fractions and constants

Published on 01 Apr 2026 - 0:28

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$ \lim_{n \to \infty} \frac{\sqrt{n}(\sqrt{1} + \sqrt{2} + ... + \sqrt{n})}{n^2} $

Published on 01 Apr 2026 - 10:24

650

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What is the square root of $(-5)^2$?

Published on 18 Feb 2017 - 16:27

3.6k

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A formula for $\sin(\pi/2^n)$

Published on 29 Mar 2026 - 4:48

56

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Roots of square equation, the solution for the value of element K in a series of numbers

Published on 01 Apr 2026 - 0:10

260

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How to solve this equation √288/√34 *18/√34

Published on 01 Apr 2026 - 0:27

202

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Tricky inequality involving 3 variables

Published on 29 Mar 2026 - 4:09

14.6k

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Limit of $n$th root of $n$!

Published on 01 Apr 2026 - 12:15

120

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Triangular inequality extended

Published on 30 Mar 2026 - 15:42

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Some questions about power as a whole.

Square root of a prime is irrational

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

Given the positive numbers $a, b, c$. Prove that $\frac{a}{\sqrt{a^2+1}}+\frac{b}{\sqrt{b^2+1}}+\frac{c}{\sqrt{c^2+1}}\le \frac{3}{2}$

How to validate the following inequality?

Inequality $\sqrt{x^2+y^2+z^2+2yz}\leq a \sqrt{x^2+y^2}+b|z|,$

Inequality involving irreducible fractions and constants

$ \lim_{n \to \infty} \frac{\sqrt{n}(\sqrt{1} + \sqrt{2} + ... + \sqrt{n})}{n^2} $

What is the square root of $(-5)^2$?

A formula for $\sin(\pi/2^n)$

Roots of square equation, the solution for the value of element K in a series of numbers

How to solve this equation √288/√34 *18/√34

Tricky inequality involving 3 variables

Limit of $n$th root of $n$!

Triangular inequality extended

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