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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 12,919

I. Find the square roots of

(1)

(2)

(3)

(4)

II. Show that

.Character is who you are when no one is looking.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 81,392

Hi ganesh;

Answer for (1)

*Last edited by bobbym (2009-04-20 22:32:41)*

**In mathematics, you don't understand things. You just get used to them.I have the result, but I do not yet know how to get it.All physicists, and a good many quite respectable mathematicians are contemptuous about proof.**

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 81,392

Hi ganesh

for (2)

**In mathematics, you don't understand things. You just get used to them.I have the result, but I do not yet know how to get it.All physicists, and a good many quite respectable mathematicians are contemptuous about proof.**

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**smiyc86****Member**- Registered: 2009-03-19
- Posts: 78

hi ganesh,

I love Maths and Music ... dunno which more

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**nurshodiq****Member**- Registered: 2009-03-29
- Posts: 12

*Last edited by nurshodiq (2009-04-25 15:57:19)*

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**nurshodiq****Member**- Registered: 2009-03-29
- Posts: 12

How many pairs of natural number (x,y) with

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 81,392

Hi nurshodiq;

I think that

is the only solution.

Since it factors into:

and both of those terms are greater than 1 for all

must consist of 2 or more primes or two or more composites so cannot be prime

**In mathematics, you don't understand things. You just get used to them.I have the result, but I do not yet know how to get it.All physicists, and a good many quite respectable mathematicians are contemptuous about proof.**

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