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Solving Radical Equations $x-7= \sqrt{x-5}$

score 2.9k · Answer 1 · 2026-04-16 06:57:04

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Solving Radical Equations $x-7= \sqrt{x-5}$

Published on 16 Apr 2026 - 6:57

score 1k · Answer 2 · 2026-04-15 02:05:01

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How to prove $\lim_{n \to \infty} \sqrt{n}(\sqrt[n]{n} - 1) = 0$?

Published on 15 Apr 2026 - 2:05

score 12.8k · Answer 3 · 2026-04-16 01:43:36

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Limit of ${a_n}^{1/n}$ is equal to $\lim_{n\to\infty} a_{n+1}/a_n$

Published on 16 Apr 2026 - 1:43

score 2.3k · Answer 4 · 2026-04-17 09:41:35

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Convergence of $\sqrt[n]{x^n+y^n}$ (for $x, y > 0$)

Published on 17 Apr 2026 - 9:41

score 14.3k · Answer 5 · 2026-04-15 05:15:54

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Proof of Convergence: Babylonian Method $x_{n+1}=\frac{1}{2}(x_n + \frac{a}{x_n})$

Published on 15 Apr 2026 - 5:15

score 21.7k · Answer 6 · 2026-04-10 12:50:33

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How can I find the square root using pen and paper?

Published on 10 Apr 2026 - 12:50

score 27.8k · Answer 7 · 2026-04-16 15:55:09

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Prove $2^{1/3}$ is irrational.

Published on 16 Apr 2026 - 15:55

score 139 · Answer 8 · 2026-04-16 01:29:36

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Finding the limit of a sequence $\lim _{n\to \infty} \sqrt [3]{n^2} \left( \sqrt [3]{n+1}- \sqrt [3]{n} \right)$

Published on 16 Apr 2026 - 1:29

score 8.9k · Answer 9 · 2026-04-14 10:04:54

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How to prove $1$,$\sqrt{2},\sqrt{3}$ and $\sqrt{6}$ are linearly independent over $\mathbb{Q}$?

Published on 14 Apr 2026 - 10:04

score 3.2k · Answer 10 · 2026-04-15 15:32:03

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How to prove that $\lim \frac{1}{n} \sqrt[n]{(n+1)(n+2)... 2n} = \frac{4}{e}$

Published on 15 Apr 2026 - 15:32

score 14.7k · Answer 11 · 2026-04-15 10:04:55

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Show that if $x_n \to x$ then $\sqrt{x_n} \to \sqrt{x}$

Published on 15 Apr 2026 - 10:04

score 1.7k · Answer 12 · 2026-04-16 10:56:45

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Prove that $n! > \sqrt{n^n}, n \geq 3$

Published on 16 Apr 2026 - 10:56

score 8.4k · Answer 13 · 2026-04-17 04:03:00

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Steps to solve this system of equations: $\sqrt{x}+y=7$, $\sqrt{y}+x=11$

Published on 17 Apr 2026 - 4:03

score 201 · Answer 14 · 2026-04-11 09:35:32

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Simple question about powers and radicals

Published on 11 Apr 2026 - 9:35

score 14.6k · Answer 15 · 2026-04-12 16:37:09

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How to show that $\lim_{n \to +\infty} n^{\frac{1}{n}} = 1$?

Published on 12 Apr 2026 - 16:37

List Question

Solving Radical Equations $x-7= \sqrt{x-5}$

How to prove $\lim_{n \to \infty} \sqrt{n}(\sqrt[n]{n} - 1) = 0$?

Limit of ${a_n}^{1/n}$ is equal to $\lim_{n\to\infty} a_{n+1}/a_n$

Convergence of $\sqrt[n]{x^n+y^n}$ (for $x, y > 0$)

Proof of Convergence: Babylonian Method $x_{n+1}=\frac{1}{2}(x_n + \frac{a}{x_n})$

How can I find the square root using pen and paper?

Prove $2^{1/3}$ is irrational.

Finding the limit of a sequence $\lim _{n\to \infty} \sqrt [3]{n^2} \left( \sqrt [3]{n+1}- \sqrt [3]{n} \right)$

How to prove $1$,$\sqrt{2},\sqrt{3}$ and $\sqrt{6}$ are linearly independent over $\mathbb{Q}$?

How to prove that $\lim \frac{1}{n} \sqrt[n]{(n+1)(n+2)... 2n} = \frac{4}{e}$

Show that if $x_n \to x$ then $\sqrt{x_n} \to \sqrt{x}$

Prove that $n! > \sqrt{n^n}, n \geq 3$

Steps to solve this system of equations: $\sqrt{x}+y=7$, $\sqrt{y}+x=11$

Simple question about powers and radicals

How to show that $\lim_{n \to +\infty} n^{\frac{1}{n}} = 1$?

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