List questions from radicals

Published on 08 Sep 2014 - 2:17

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Find a positive number $\delta<2$ such that $|x−2| < \delta \implies |x^2−4| < 1$

Published on 27 Mar 2026 - 23:20

277

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Calculus Question: $\int\frac{\sqrt{x^2-1}+x}{\sqrt{x^2-1}+x-1}dx$

Published on 11 Sep 2014 - 20:14

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Prove that the square root of 3 is irrational

Published on 25 Mar 2026 - 7:43

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How to show $\log a\le n(\sqrt[n]{a}-1) \le \sqrt[n]{a}\log a$

Published on 14 Sep 2014 - 11:48

94

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Simple square-root calculation parsing /order of operations

Published on 15 Sep 2014 - 21:39

238

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Rationalize $\left(\sqrt{3x+5}-\sqrt{5x+11} -\sqrt{x+9}\right)^{-1}$

Published on 17 Sep 2014 - 8:34

19

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Rewriting the difference of two $3/2$-powers

Published on 18 Sep 2014 - 3:07

715

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How do I solve $\lim_{x\to -\infty}(\sqrt{x^2 + x + 1} + x)$?

Published on 27 Mar 2026 - 23:31

262

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Prove by induction $\sqrt{1}+\sqrt{2}+\sqrt{3}+...+\sqrt{n}\ge\frac{2}{3}n\sqrt{n}$ for all positive integers

Published on 21 Sep 2014 - 0:08

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Prove that $\sqrt[n]{2}+\sqrt[n]{3}$ is irrational for every natural $n \ge 2$

Published on 25 Mar 2026 - 11:03

69

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Prove that condition is rational

Published on 23 Sep 2014 - 14:34

178

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Difficulty in "expressing radical as square"

Published on 23 Sep 2014 - 21:39

133

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How to rationalize this root form?

Published on 24 Sep 2014 - 18:39

85

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Sign of Fractional Exponents

Published on 29 Mar 2026 - 15:16

List Question

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

Find a positive number $\delta<2$ such that $|x−2| < \delta \implies |x^2−4| < 1$

Calculus Question: $\int\frac{\sqrt{x^2-1}+x}{\sqrt{x^2-1}+x-1}dx$

Prove that the square root of 3 is irrational

How to show $\log a\le n(\sqrt[n]{a}-1) \le \sqrt[n]{a}\log a$

Simple square-root calculation parsing /order of operations

Rationalize $\left(\sqrt{3x+5}-\sqrt{5x+11} -\sqrt{x+9}\right)^{-1}$

Rewriting the difference of two $3/2$-powers

How do I solve $\lim_{x\to -\infty}(\sqrt{x^2 + x + 1} + x)$?

Prove by induction $\sqrt{1}+\sqrt{2}+\sqrt{3}+...+\sqrt{n}\ge\frac{2}{3}n\sqrt{n}$ for all positive integers

Prove that $\sqrt[n]{2}+\sqrt[n]{3}$ is irrational for every natural $n \ge 2$

Prove that condition is rational

Difficulty in "expressing radical as square"

How to rationalize this root form?

Sign of Fractional Exponents

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