October 27th, 2008, 04:39 PM  #1 
Member Joined: Sep 2008 Posts: 43 Thanks: 0  Square root question
You know when you have an equation such as (x+2)^2 you can simplify it to become x^2+4x+4....is there a way to do that with an equation such as (x+2)^0.5?.....because this would help a lot with integration 
October 27th, 2008, 04:47 PM  #2 
Senior Member Joined: May 2008 From: York, UK Posts: 1,300 Thanks: 0  Re: Square root question
In general, I'm afraid the answer is no  but it is possible to get an infinite series expansion. For more info, look at the Binomial Theorem. 
October 27th, 2008, 05:56 PM  #3 
Senior Member Joined: May 2007 Posts: 402 Thanks: 0  Re: Square root question
Or using Taylor expansion.. Or any other.. But in general, there is no finite formula.

October 27th, 2008, 07:27 PM  #4  
Senior Member Joined: Jul 2008 Posts: 895 Thanks: 0  Re: Square root question Quote:
And what's wrong with substituting u for sqrt(x+2) in the second?  
October 28th, 2008, 07:51 PM  #5  
Member Joined: Sep 2008 Posts: 43 Thanks: 0  Re: Square root question Quote:
 

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