Question

How to find $x$ given $\log_{9}\left(\frac{1}{\sqrt3}\right) =x$ without a calculator?

score 1.9k · Answer 1 · 2026-03-27 04:17:48

1.9k

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How to find $x$ given $\log_{9}\left(\frac{1}{\sqrt3}\right) =x$ without a calculator?

Published on 27 Mar 2026 - 4:17

score 219 · Answer 2 · 2026-03-26 21:10:32

219

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Prove That $ \sqrt{\frac xy + \frac yz}+ \sqrt{\frac yz + \frac zx}+ \sqrt{\frac zx + \frac xy}\ge 3 $

Published on 26 Mar 2026 - 21:10

score 7.6k · Answer 3 · 2026-04-11 05:28:17

7.6k

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is there Any way to calculate nth Root without calculator?

Published on 11 Apr 2026 - 5:28

score 87 · Answer 4 · 2017-11-04 03:30:50

87

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How can I prove $\begin{equation} \lim_{n \rightarrow \infty} \frac{n}{\sqrt{n^2 + n+1}}=1 \end{equation}$

Published on 04 Nov 2017 - 3:30

score 92 · Answer 5 · 2026-03-30 23:12:41

92

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A conjecture concerning numbers of the form $k\sqrt{2}$ where $k \in \mathbb{N}$

Published on 30 Mar 2026 - 23:12

score 183 · Answer 6 · 2017-11-05 21:40:11

183

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Find $\lim_{n\to \infty}\sqrt[n]{a}$ where 0 < a

Published on 05 Nov 2017 - 21:40

score 716 · Answer 7 · 2017-11-06 02:57:36

716

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Checking that $2+\sqrt3$ is a cube root of $26 + 15 \sqrt3$

Published on 06 Nov 2017 - 2:57

score 314 · Answer 8 · 2026-04-06 19:34:54

314

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How to show this function is a metric: $d(x,y) = \frac{2|x-y|}{\sqrt{1+x^2}+\sqrt{1+y^2}}$?

Published on 06 Apr 2026 - 19:34

score 61 · Answer 9 · 2026-04-02 12:25:35

61

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Integral of $\sqrt{1+\frac{1}{z}}$ on $\partial B(0,2)$

Published on 02 Apr 2026 - 12:25

score 465 · Answer 10 · 2026-04-13 00:01:34

465

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Limit of a sum of two oddly specific square roots at infinity

Published on 13 Apr 2026 - 0:01

score 1.3k · Answer 11 · 2026-04-12 21:05:55

1.3k

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How to take square root of $x^2 + y^2 = 144$?

Published on 12 Apr 2026 - 21:05

score 207 · Answer 12 · 2026-04-06 19:32:38

207

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Is $|x_1|+|x_2|+...+|x_n| \leq \sqrt{x_1^2+x_2^2+...+x_n^2}$?

Published on 06 Apr 2026 - 19:32

score 82 · Answer 13 · 2026-04-10 16:22:22

82

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Shortcut to Radicals

Published on 10 Apr 2026 - 16:22

score 648 · Answer 14 · 2017-11-09 04:31:55

648

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show this inequality $\left(\sum_{i=1}^{n}x_{i}+n\right)^n\ge \left(\prod_{i=1}^{n}x_{i}\right)\left(\sum_{i=1}^{n}\frac{1}{x_{i}}+n\right)^n$

Published on 09 Nov 2017 - 4:31

score 235 · Answer 15 · 2017-11-10 03:56:03

235

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Prove $ ( \frac{\sin ^{2}\theta}{2}+\frac{2}{\cos ^{2}\theta} )^{1/4} + ( \frac{\cos ^{2}\theta}{2}+\frac{2}{\sin ^{2}\theta} )^{1/4}\ge 68^{1/4}$

Published on 10 Nov 2017 - 3:56

List Question

How to find $x$ given $\log_{9}\left(\frac{1}{\sqrt3}\right) =x$ without a calculator?

Prove That $ \sqrt{\frac xy + \frac yz}+ \sqrt{\frac yz + \frac zx}+ \sqrt{\frac zx + \frac xy}\ge 3 $

is there Any way to calculate nth Root without calculator?

How can I prove $\begin{equation} \lim_{n \rightarrow \infty} \frac{n}{\sqrt{n^2 + n+1}}=1 \end{equation}$

A conjecture concerning numbers of the form $k\sqrt{2}$ where $k \in \mathbb{N}$

Find $\lim_{n\to \infty}\sqrt[n]{a}$ where 0 < a

Checking that $2+\sqrt3$ is a cube root of $26 + 15 \sqrt3$

How to show this function is a metric: $d(x,y) = \frac{2|x-y|}{\sqrt{1+x^2}+\sqrt{1+y^2}}$?

Integral of $\sqrt{1+\frac{1}{z}}$ on $\partial B(0,2)$

Limit of a sum of two oddly specific square roots at infinity

How to take square root of $x^2 + y^2 = 144$?

Is $|x_1|+|x_2|+...+|x_n| \leq \sqrt{x_1^2+x_2^2+...+x_n^2}$?

Shortcut to Radicals

show this inequality $\left(\sum_{i=1}^{n}x_{i}+n\right)^n\ge \left(\prod_{i=1}^{n}x_{i}\right)\left(\sum_{i=1}^{n}\frac{1}{x_{i}}+n\right)^n$

Prove $ ( \frac{\sin ^{2}\theta}{2}+\frac{2}{\cos ^{2}\theta} )^{1/4} + ( \frac{\cos ^{2}\theta}{2}+\frac{2}{\sin ^{2}\theta} )^{1/4}\ge 68^{1/4}$

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