Look for common elements under the radical symbol. For example, if your equation is (8 * square root of 2x) minus (3 * square root of 2x), your common element is the square root of 2x.
Move the uncommon elements into a set of parentheses, adding or subtracting them from one another according to the mathematical operator in play, then place the common element after the parentheses. In the above example, this would give you an equation of (8 - 3) * (square root of 2x).
Process the equation within the parentheses to simplify the equation. In the above example, this would give you a simplified equation of (5 * square root of 2x).