1. The problem statement, all variables and given/known data Solve the equation √(6 + 3√2) = √a + √b, writing a and b in the form a + b√c. 2. Relevant equations In the answers they say that a + b = 6, but I cannot see how they can say this. 3. The attempt at a solution I square both sides, and that is as far as I get: 6 + 3√2 = a + 2√(ab) + b In the answers, they say from here that a + b = 6. I am clueless as to how they can say this.