SOLUTION: Is √a + √b = √a+b for all values of a and b?

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Question 326842: Is √a + √b = √a+b for all values of a and b?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Let's find out.
Square both sides.
sqrt%28a%29%2Bsqrt%28b%29=sqrt%28a%2Bb%29
%28sqrt%28a%29%2Bsqrt%28b%29%29%5E2=a%2Bb
a%2B2sqrt%28ab%29%2Bb=a%2Bb
2sqrt%28ab%29=0
sqrt%28ab%29=0
Yes, it's true but only when a=0 or b=0 or both.
So in general, other than those special cases, it does not hold.