Question

magical isosceles triangle and 13/15 ratio

score 120 · Answer 1 · 2014-01-18 16:41:14

120

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magical isosceles triangle and 13/15 ratio

Published on 18 Jan 2014 - 16:41

score 158 · Answer 2 · 2026-03-29 07:28:58

158

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If $3\mid a,b,c$ and $n=a^2+b^2+c^2$, prove that there exist $x,y,z$ such that $n=x^2+y^2+z^2$, where $3\nmid x,y,z$.

Published on 29 Mar 2026 - 7:28

score 849 · Answer 3 · 2014-01-26 16:59:38

849

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Finding integer cubes that are $2$ greater than a square, $x^3 = y^2 + 2$

Published on 26 Jan 2014 - 16:59

score 89 · Answer 4 · 2014-01-28 15:42:19

89

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Prove that there are no such odd numbers $x,y,z$ such that satisfy both $xy+1=a^2$, $yz+1=b^2$ and $xz+1=c^2$.

Published on 28 Jan 2014 - 15:42

score 85 · Answer 5 · 2014-01-29 22:17:27

85

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Number theory question - squares

Published on 29 Jan 2014 - 22:17

score 400 · Answer 6 · 2014-01-30 16:02:06

400

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Prove a square can't be written $5x+ 3$, for all integers $x$.

Published on 30 Jan 2014 - 16:02

score 1.2k · Answer 7 · 2014-02-05 20:42:35

1.2k

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Find the Perfect Square

Published on 05 Feb 2014 - 20:42

score 381 · Answer 8 · 2014-02-07 10:31:55

381

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Is $(x^2+y^2+z^2)$ always a perfect square when $x=n-1, y=n, z=n(n-1)$?

Published on 07 Feb 2014 - 10:31

score 3.1k · Answer 9 · 2014-02-20 04:21:47

3.1k

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If $a$ and $b$ are odd then $a^2+b^2$ is not a perfect square

Published on 20 Feb 2014 - 4:21

score 105 · Answer 10 · 2014-02-25 09:05:57

105

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Is $\left((-1)^2\right)^\frac12 = (-1)^\left(2\cdot\frac12\right)$?

Published on 25 Feb 2014 - 9:05

score 583 · Answer 11 · 2014-03-05 02:40:03

583

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What is his algorithm of taking square of a 5 digit number?

Published on 05 Mar 2014 - 2:40

score 60 · Answer 12 · 2014-03-08 23:16:27

60

Views

Determine real number exists for relation with square roots

Published on 08 Mar 2014 - 23:16

score 2.8k · Answer 13 · 2017-04-15 19:33:16

2.8k

Views

Is it a coincidence that the 12th Fibonacci number is 12 squared?

Published on 15 Apr 2017 - 19:33

score 2.7k · Answer 14 · 2017-04-16 13:41:14

2.7k

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Why doesn't multiplying square roots of imaginary numbers follow $\sqrt{a} \times \sqrt{b} = \sqrt{ab}$?

Published on 16 Apr 2017 - 13:41

score 146 · Answer 15 · 2017-04-17 16:27:21

146

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Why taking square root leads to a wrong equation?

Published on 17 Apr 2017 - 16:27

List Question

magical isosceles triangle and 13/15 ratio

If $3\mid a,b,c$ and $n=a^2+b^2+c^2$, prove that there exist $x,y,z$ such that $n=x^2+y^2+z^2$, where $3\nmid x,y,z$.

Finding integer cubes that are $2$ greater than a square, $x^3 = y^2 + 2$

Prove that there are no such odd numbers $x,y,z$ such that satisfy both $xy+1=a^2$, $yz+1=b^2$ and $xz+1=c^2$.

Number theory question - squares

Prove a square can't be written $5x+ 3$, for all integers $x$.

Find the Perfect Square

Is $(x^2+y^2+z^2)$ always a perfect square when $x=n-1, y=n, z=n(n-1)$?

If $a$ and $b$ are odd then $a^2+b^2$ is not a perfect square

Is $\left((-1)^2\right)^\frac12 = (-1)^\left(2\cdot\frac12\right)$?

What is his algorithm of taking square of a 5 digit number?

Determine real number exists for relation with square roots

Is it a coincidence that the 12th Fibonacci number is 12 squared?

Why doesn't multiplying square roots of imaginary numbers follow $\sqrt{a} \times \sqrt{b} = \sqrt{ab}$?

Why taking square root leads to a wrong equation?

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