SOLUTION: Please help. Rationalize the denominator of √x+√y/√x-√y assuming x ≥ 0 and y≥0. I'm not sure how to work this one, so I'm getting stuck.

Algebra ->  Radicals -> SOLUTION: Please help. Rationalize the denominator of √x+√y/√x-√y assuming x ≥ 0 and y≥0. I'm not sure how to work this one, so I'm getting stuck.      Log On


   

Question 768979: Please help.
Rationalize the denominator of √x+√y/√x-√y assuming x ≥ 0 and y≥0.

I'm not sure how to work this one, so I'm getting stuck.
√x+√y/√x-√y * √x+√y/√x+√y
x^2+xy+yx+y^2/x^2+xy-yx-y^2
yx+y^2/-yx-y^2 then I'm stuck as I'm obviously going down the wrong path.
Answer Options:
A. x+y/x-y
B. x+2√xy+y/x-y
C. √x-√y/√x+√y
D. x^2+y^2/x^2-y^2
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
%28sqrt%28x%29+%2B+sqrt%28y%29%29%2F%28sqrt%28x%29+-+sqrt%28y%29%29



multiply and divide bth conjugate


%28sqrt%28x%29+%2B+sqrt%28y%29%29%5E2%2F%28%28sqrt%28x%29%29%5E2-%28sqrt%28y%29%29%5E2%29

%28x%2B2sqrt%28xy%29%2By%29%2F%28x-y%29