SOLUTION: is this relationship correct? why or why not? √x+y = √x + √y

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


   

Question 313178: is this relationship correct? why or why not?
√x+y = √x + √y
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Let's check. Let x=y=1.
sqrt%281%2B1%29=sqrt%281%29%2Bsqrt%281%29
sqrt%282%29=1%2B1
sqrt%282%29=2
No, that's not true.
.
.
.
sqrt%28x%2By%29=sqrt%28x%29%2Bsqrt%28y%29
Square both sides.

x%2By=x%2B2sqrt%28xy%29%2By%29
2sqrt%28xy%29=0
So the equation above only holds for certain values of x and y.
It only holds when x=0, y=0, or x=y=0
Now you see why.