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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 20,397

I. Find the square roots of

(1)

(2)

(3)

(4)

II. Show that

.It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 102,962

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.****If it ain't broke, fix it until it is.** **A number by itself is useful, but it is far more useful to know how accurate or certain that number is.**

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 102,962

Hi ganesh

for (2)

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.** **A number by itself is useful, but it is far more useful to know how accurate or certain that number is.**

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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: 102,962

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.****If it ain't broke, fix it until it is.** **A number by itself is useful, but it is far more useful to know how accurate or certain that number is.**

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