Math Is Fun Forum

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,385

Square Roots

I. Find the square roots of

(1)

(2)

(3)

(4)

II. Show that

.

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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.

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)

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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.

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: Square Roots

Hi ganesh

for (2)

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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.

smiyc86

Member

Registered: 2009-03-19

Posts: 78

Re: Square Roots

hi ganesh,

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I love Maths and Music ... dunno which more

nurshodiq

Member

Registered: 2009-03-29

Posts: 12

Re: Square Roots

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

nurshodiq

Member

Registered: 2009-03-29

Posts: 12

Re: Square Roots

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

prime

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

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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.