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#1 2009-03-01 04:06:22

ganesh
Moderator
Registered: 2005-06-28
Posts: 14,428

Square Roots

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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#2 2009-04-20 19:17:39

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 86,602

Re: Square Roots

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.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#3 2009-04-21 17:49:09

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 86,602

Re: Square Roots

Hi ganesh

for (2)


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

#4 2009-04-21 18:55:20

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

Re: Square Roots

hi ganesh,


I love Maths and Music ... dunno which more wink

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#5 2009-04-25 15:44:51

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

Re: Square Roots






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

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#6 2009-04-25 16:03:18

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

Re: Square Roots

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

prime

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#7 2009-04-27 00:16:34

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 86,602

Re: Square Roots

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.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

Online

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