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

Algebra.Com
Question 313178: is this relationship correct? why or why not?
√x+y = √x + √y

Answer by Fombitz(32388)   (Show Source): You can put this solution on YOUR website!
Let's check. Let .



No, that's not true.
.
.
.

Square both sides.



So the equation above only holds for certain values of x and y.
It only holds when , , or
Now you see why.

RELATED QUESTIONS

is this relationship correct? why or why not?... (answered by ankor@dixie-net.com)
is the relationship correct why or why not?... (answered by rapaljer,Alan3354)
Simplify... (answered by stanbon)
Simplify... (answered by ewatrrr)
( √(x-y))(... (answered by asuar010)
Please help. Rationalize the denominator of √x+√y/√x-√y... (answered by mananth)
• 3√x ∙ 3√x = x. Explain why. (answered by Alan3354,richard1234)
(√x-√y)/(√x+√y) Help me Rationalize the denominator,... (answered by lwsshak3)
if y=√(x+√(x+√(x+√(x)))) find... (answered by ikleyn)