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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?

'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'

'You have made another human being happy. There is no greater accomplishment.' -bobbym

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 93,616

Hi;

Yes there are! You can find them.

**In mathematics, you don't understand things. You just get used to them.**

**I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.**

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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: 437

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'

'You have made another human being happy. There is no greater accomplishment.' -bobbym

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**ElainaVW****Member**- Registered: 2013-04-29
- Posts: 437

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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'

'You have made another human being happy. There is no greater accomplishment.' -bobbym

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 93,616

**In mathematics, you don't understand things. You just get used to them.**

**I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.**

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What is it?

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

'You have made another human being happy. There is no greater accomplishment.' -bobbym

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