99% Can't Solve This | A Nice Algebra Problem | Find the Value of a + b + c = ? 

The answer is correct. That's great!!

We can get values of a^2,b^2,c^2 a+b+c=√200/3 +√150 +√600 =√600/9+√600/4+√600 =(1/3+1/2+1)√100√6=110/6(√6) =55√6/3

The real answer is 55√2/3