Question

Is it possible to find the sum of all integer values that $x$ can take?

score 98 · Answer 1 · 2015-05-19 00:28:01

98

Views

Is it possible to find the sum of all integer values that $x$ can take?

Published on 19 May 2015 - 0:28

score 75 · Answer 2 · 2026-03-26 16:05:25

75

Views

Show: t(x) = x√2 + √3 is irrational. Hint: consider t(x)²

Published on 26 Mar 2026 - 16:05

score 5.4k · Answer 3 · 2015-05-22 05:58:06

5.4k

Views

Solve the following equation: $\sqrt {x + \sqrt {4x + \sqrt {16x + \sqrt {64x + 5}}}} - \sqrt x= 1$

Published on 22 May 2015 - 5:58

score 96 · Answer 4 · 2015-05-25 00:58:21

96

Views

Solutions of $\sqrt{x+4+2\sqrt{x+3}}-(x^2+4x+3)^{1/3}=1$

Published on 25 May 2015 - 0:58

score 634 · Answer 5 · 2015-05-25 18:17:01

634

Views

Solving a Radical Equation $5(\sqrt{1-x} + \sqrt{1+x}) = 6x + 8\sqrt{1-x^2}$ (squaring doesn't help)

Published on 25 May 2015 - 18:17

score 859 · Answer 6 · 2015-05-25 21:59:02

859

Views

Are logarithms radicals?

Published on 25 May 2015 - 21:59

score 51 · Answer 7 · 2015-05-26 00:36:56

51

Views

Are there any integral solutions to this inequality?

Published on 26 May 2015 - 0:36

score 618 · Answer 8 · 2015-05-26 11:22:08

618

Views

Trying to prove $2( \sqrt{n+1}-\sqrt n )< \frac{1}{\sqrt n}<2( \sqrt{n}-\sqrt {n-1})$ and use this to prove...

Published on 26 May 2015 - 11:22

score 215 · Answer 9 · 2015-05-27 03:46:15

215

Views

Solve this equation: $(x+2)(\sqrt{2x+3}-2\sqrt{x+1})+\sqrt{2x^2+5x+3}=1$

Published on 27 May 2015 - 3:46

score 855 · Answer 10 · 2026-03-26 08:31:11

855

Views

Get rid of the square roots of the denominator: $\dfrac{1}{\sqrt{7}-2\sqrt{5}+\sqrt{3}}$

Published on 26 Mar 2026 - 8:31

score 2.7k · Answer 11 · 2015-05-31 13:08:17

2.7k

Views

What is the principal cubic root of $-8$?

Published on 31 May 2015 - 13:08

score 191 · Answer 12 · 2015-06-03 20:51:02

191

Views

Evaluate $\lim\limits_{x\to+\infty}\frac{\left(x+\sqrt{x^2-1}\right)^n+\left(x-\sqrt{x^2-1}\right)^n}{x^n},n\in \mathbb{N}$

Published on 03 Jun 2015 - 20:51

score 622 · Answer 13 · 2026-04-03 07:49:47

622

Views

Show that $\lim\limits_{n \to \infty} \frac{(n!)^{1/n}}{n}= \frac{1}{e}$

Published on 03 Apr 2026 - 7:49

score 143 · Answer 14 · 2015-06-04 17:32:59

143

Views

upper and lower bounds related to $\sqrt[3]{a^3 + b}$ with $b \ll a$

Published on 04 Jun 2015 - 17:32

score 221 · Answer 15 · 2015-06-05 01:28:36

221

Views

How do I find the max of $\sqrt{x+1}-\sqrt{x}$

Published on 05 Jun 2015 - 1:28

List Question

Is it possible to find the sum of all integer values that $x$ can take?

Show: t(x) = x√2 + √3 is irrational. Hint: consider t(x)²

Solve the following equation: $\sqrt {x + \sqrt {4x + \sqrt {16x + \sqrt {64x + 5}}}} - \sqrt x= 1$

Solutions of $\sqrt{x+4+2\sqrt{x+3}}-(x^2+4x+3)^{1/3}=1$

Solving a Radical Equation $5(\sqrt{1-x} + \sqrt{1+x}) = 6x + 8\sqrt{1-x^2}$ (squaring doesn't help)

Are logarithms radicals?

Are there any integral solutions to this inequality?

Trying to prove $2( \sqrt{n+1}-\sqrt n )< \frac{1}{\sqrt n}<2( \sqrt{n}-\sqrt {n-1})$ and use this to prove...

Solve this equation: $(x+2)(\sqrt{2x+3}-2\sqrt{x+1})+\sqrt{2x^2+5x+3}=1$

Get rid of the square roots of the denominator: $\dfrac{1}{\sqrt{7}-2\sqrt{5}+\sqrt{3}}$

What is the principal cubic root of $-8$?

Evaluate $\lim\limits_{x\to+\infty}\frac{\left(x+\sqrt{x^2-1}\right)^n+\left(x-\sqrt{x^2-1}\right)^n}{x^n},n\in \mathbb{N}$

Show that $\lim\limits_{n \to \infty} \frac{(n!)^{1/n}}{n}= \frac{1}{e}$

upper and lower bounds related to $\sqrt[3]{a^3 + b}$ with $b \ll a$

How do I find the max of $\sqrt{x+1}-\sqrt{x}$

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