Question

Is this a valid way to prove that $\sqrt 2$ is irrational?

score 105 · Answer 1 · 2018-11-07 09:06:10

105

Views

Is this a valid way to prove that $\sqrt 2$ is irrational?

Published on 07 Nov 2018 - 9:06

score 60 · Answer 2 · 2018-11-09 06:14:31

60

Views

$x(x − N p^2)(x + N p^2)(x^2 + N^2p^4) + p $ cannot be solved by radicals

Published on 09 Nov 2018 - 6:14

score 91 · Answer 3 · 2018-11-09 17:13:10

91

Views

Has my conjecture using Pell's Equation been discovered before

Published on 09 Nov 2018 - 17:13

score 387 · Answer 4 · 2018-11-10 11:14:29

387

Views

If $x>\sqrt{xy}>y$, then $x>y>0$.

Published on 10 Nov 2018 - 11:14

score 55 · Answer 5 · 2018-11-12 13:29:00

55

Views

Is $(-1)^{1/3} = -1$ , but $(-1)^{2/6} = 1$. Why aren't these the same?

Published on 12 Nov 2018 - 13:29

score 117 · Answer 6 · 2026-03-25 15:59:02

117

Views

Where is the logical flaw in solving this equation?

Published on 25 Mar 2026 - 15:59

score 210 · Answer 7 · 2018-11-15 21:06:06

210

Views

Help calculating $\lim_{x \to \infty} \left( \sqrt{x + \sqrt{x}} - \sqrt{x - \sqrt{x}} \right)$

Published on 15 Nov 2018 - 21:06

score 370 · Answer 8 · 2026-03-25 12:53:25

370

Views

Factor square root out of quotient

Published on 25 Mar 2026 - 12:53

score 216 · Answer 9 · 2018-11-20 03:20:55

216

Views

Confusion on last step of Hardy's proof on the square root of "a rational number with imperfect square component"'s inability to be a rational number

Published on 20 Nov 2018 - 3:20

score 86 · Answer 10 · 2018-11-20 14:33:55

86

Views

Put the $\sqrt[n]{n}$ numbers in to an increasing order

Published on 20 Nov 2018 - 14:33

score 344 · Answer 11 · 2018-11-22 19:28:26

344

Views

Solve $\lim\limits_{n\to\infty}\sqrt[3]{n+\sqrt{n}}-\sqrt[3]{n}$

Published on 22 Nov 2018 - 19:28

score 747 · Answer 12 · 2018-11-23 00:58:58

747

Views

Babylonian Method Limit Question

Published on 23 Nov 2018 - 0:58

score 426 · Answer 13 · 2018-11-23 16:48:31

426

Views

Solve without a calculator: If $x+\sqrt{x}=13$ then $x+\frac{13}{\sqrt{x}}=?$

Published on 23 Nov 2018 - 16:48

score 205 · Answer 14 · 2018-11-24 01:52:06

205

Views

help with $\;(x+3)^{1/3} = (x-1)^{1/2}$

Published on 24 Nov 2018 - 1:52

score 1.8k · Answer 15 · 2026-03-26 14:43:01

1.8k

Views

Approximation of square root of sum of two squared terms

Published on 26 Mar 2026 - 14:43

List Question

Is this a valid way to prove that $\sqrt 2$ is irrational?

$x(x − N p^2)(x + N p^2)(x^2 + N^2p^4) + p $ cannot be solved by radicals

Has my conjecture using Pell's Equation been discovered before

If $x>\sqrt{xy}>y$, then $x>y>0$.

Is $(-1)^{1/3} = -1$ , but $(-1)^{2/6} = 1$. Why aren't these the same?

Where is the logical flaw in solving this equation?

Help calculating $\lim_{x \to \infty} \left( \sqrt{x + \sqrt{x}} - \sqrt{x - \sqrt{x}} \right)$

Factor square root out of quotient

Confusion on last step of Hardy's proof on the square root of "a rational number with imperfect square component"'s inability to be a rational number

Put the $\sqrt[n]{n}$ numbers in to an increasing order

Solve $\lim\limits_{n\to\infty}\sqrt[3]{n+\sqrt{n}}-\sqrt[3]{n}$

Babylonian Method Limit Question

Solve without a calculator: If $x+\sqrt{x}=13$ then $x+\frac{13}{\sqrt{x}}=?$

help with $\;(x+3)^{1/3} = (x-1)^{1/2}$

Approximation of square root of sum of two squared terms

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