SOLUTION: To whomever decides to help me. I have been working on this problem ALL DAY LONG! Here it is: ((x+2)*(1/2)(x+1)^(-1/2)-(x+1)^(1/2))/(x+2)^(2). I have gotten several di

Algebra ->  Exponents -> SOLUTION: To whomever decides to help me. I have been working on this problem ALL DAY LONG! Here it is: ((x+2)*(1/2)(x+1)^(-1/2)-(x+1)^(1/2))/(x+2)^(2). I have gotten several di      Log On


   



Question 202817: To whomever decides to help me.
I have been working on this problem ALL DAY LONG! Here it is:
((x+2)*(1/2)(x+1)^(-1/2)-(x+1)^(1/2))/(x+2)^(2).
I have gotten several different answers. I am unsure of what I am doing wrong. At first I tried bringing down the negative exponent and then canceling out, I got (-1/2)/(x+2)but I don't think that it is correct. All the other sulutions are a bunch of mumble jumbles. I thought maybe I should convert into rational terms but I ended with an imaginary number (SQRT of 1/2) in the domnimator but I don't think that is correct at all.
Any help at all would be greatly appreciated.
Thanks you soooooo muchs!
Maggie



Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
... Start with the given expression.



... Rewrite as



... Multiply EVERY term by the inner LCD to clear out the inner fractions.



... Multiply and simplify



... Rearrange the terms.



... Distribute



... Combine like terms.



... Convert to radical notation



So simplifies to


I hope this is what you're looking for. If not, then either email me or repost.