SOLUTION: is this relationship correct? why or why not? √(x^2+2xy+y^2)=x+y

Algebra ->  Radicals -> SOLUTION: is this relationship correct? why or why not? √(x^2+2xy+y^2)=x+y      Log On


   

Question 313736: is this relationship correct? why or why not?
√(x^2+2xy+y^2)=x+y
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
is this relationship correct? why or why not?
It is:
sqrt%28x%5E2%2B2xy%2By%5E2%29=x%2By
Factor inside the radical
sqrt%28%28x%2By%29%28x%2By%29%29=x%2By
which is
sqrt%28%28x%2By%29%5E2%29=x%2By
therefore
x + y = x + y