
Example: Expand (Ö5 + Ö3)^{2}. Solution: The above problem in the form of (a+b)^{2} = a^{2} + 2ab + b^{2}. Here a = Ö5 and b = Ö3, substitute these values in the above formula, we get, (Ö5 + Ö3)^{2} = (Ö5)^{2} + 2Ö5*Ö3 + (Ö3)^{2} = 5 + 2Ö15 + 3 = 8 + 2Ö15. Directions: Solve the following problems. Also write at least ten examples of your own. 