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

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,969

Square Roots

I. Find the square roots of

(1)

(2)

(3)

(4)

II. Show that

.


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

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

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

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

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.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: Square Roots

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.
Always satisfy the Prime Directive of getting the right answer above all else.

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#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
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

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.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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