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#1 2014-12-12 22:54:33

lemniscate
Member
Registered: 2014-12-12
Posts: 2

Square root of sum alternate form derivation

Hello,

Recently I watched a math lecture in which the teacher wrote sqrt(x^2+x)  and derived the following alternate form from it:

x * sqrt(1+1/x)

Can someone please explain this derivation step-by-step?

Thanks

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#2 2014-12-12 22:59:49

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

Re: Square root of sum alternate form derivation

Hi;

Just factor an x^2 out of both terms of x^2+x.

But for computational purposes he has produced a problem.


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 2014-12-12 23:15:52

lemniscate
Member
Registered: 2014-12-12
Posts: 2

Re: Square root of sum alternate form derivation

Right, got it. Thanks for the quick response.

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#4 2014-12-12 23:19:27

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

Re: Square root of sum alternate form derivation

Welcome to the forum.


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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