Question

given that a is inequal to b, is it ever possible to have square root of a + square root of b = square root a+b

Answer 1

Answer:

             Yes, but only if a=0 or b=0

Step-by-step explanation:

$(a+b)^2=a^2+b^2\\\\a^2+2ab+b^2=a^2+b^2\\\\2ab=0\quad\iff\quad a=0\ \ or\ \ b=0$