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```
x = 1 y = 1 z = 4
x = 1 y = 4 z = 9
x = 4 y = 1 z = 9
x = 1 y = 9 z = 16
x = 4 y = 4 z = 16
x = 9 y = 1 z = 16
x = 1 y = 16 z = 25
x = 4 y = 9 z = 25
x = 9 y = 4 z = 25
x = 16 y = 1 z = 25
```

Any more ordered solutions of √x + √y = √z such that 1≤x,y,z≤25?

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 85,303

Hi;

Yes there are! You can find them.

**In mathematics, you don't understand things. You just get used to them.Of course that result can be rigorously obtained, but who cares?Combinatorics is Algebra and Algebra is Combinatorics.**

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**zetafunc.****Guest**

I don't think that's all of them. x = y = 2, z = 8 works, for instance -- unless I've missed something?

**ElainaVW****Member**- Registered: 2013-04-29
- Posts: 291

Hello;

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zetafunc. wrote:

I don't think that's all of them. x = y = 2, z = 8 works, for instance -- unless I've missed something?

That is what I'm getting. I can't believe it

'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'

'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'

'Humanity is still kept intact. It remains within.' -Alokananda

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**ElainaVW****Member**- Registered: 2013-04-29
- Posts: 291

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I think you just programmed it

'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'

'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'

'Humanity is still kept intact. It remains within.' -Alokananda

**Online**

**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 85,303

**In mathematics, you don't understand things. You just get used to them.Of course that result can be rigorously obtained, but who cares?Combinatorics is Algebra and Algebra is Combinatorics.**

**Online**

What is it?

'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'

'Humanity is still kept intact. It remains within.' -Alokananda

**Online**

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