The problem is:

There are real numbers a and b such that

squareroot(a+b) = squareroot(a) + squareroot(b).

Basically, I have to find two numbers that when added together the resulting squareroot is equal to if I took the square root of each number individually and added them together. I have been trying to figure this out for hours. Teacher basically said that we just have to go through all the numbers to prove it.

Please help!!!