# Adding and Subtracting Radicals

Students learn to add or subtract radicals by first breaking down the given radicals and simplifying each term, then combining terms that have the same number inside the radical. For example, 15 root 2 + 6 root 2 = 21 root 2. Students also learn that a problem in the form (7 + 4 root 5)(2 - 3 root 5) can be simplified using the FOIL method, and a problem in the form (1 + root 3)^2 can be rewritten as (1 + root 3)(1 + root 3).