# Root simplification

• Aug 5th 2012, 10:03 AM
Pestolazzi
Root simplification
I have a really simple and idiotic question. I have no clue as to how to simplify root expressions. For example (sqrt(x)=the square root of x):

sqrt(n)+1/sqrt(n+1)

how can I deal with this expression and represent it as a multiple of n for example?

thanks
• Aug 5th 2012, 10:15 AM
Plato
Re: Root simplification
Quote:

Originally Posted by Pestolazzi
I have a really simple and idiotic question. I have no clue as to how to simplify root expressions.
sqrt(n)+1/sqrt(n+1) how can I deal with this expression and represent it as a multiple of n for example?

That cannot really be done. BUT
$\frac{\sqrt{n}+1}{\sqrt{n+1}}=\frac{(\sqrt{n}+1)( \sqrt{n+1})}{{n+1}}$
Not really what you seem to want.?