Example 1 - Using the Multiplication Property to Simplify a Radical Expression: Simplify the expression assuming that x 2 0. Vx9 When we square root a number or variable, we are looking for sets of 2 to make a root. For example: V4 = V2 . 2 = 2 or V8 = v4 . v2 or v2 . 2 . 2, because we only have 1 set of 2's, we can only pull one 2 out as a root, the other 2 has to stay behind with the radical: V8 = 2V2 So for the above example, we do not have sets of 2, we have 9 x's; therefore, we are going to have one left under the radical. Vx9 = VxB . x =x4Vx We divide 8 + 2 = 4 Try - #1: Simplify the expression assuming that x 2 0. Vx11 Example 2 - Using the Multiplication Property to Simplify a Radical Expression: Convert each expression. Assume all variables represent positive real numbers. a) Va15 Do the same thing we did before, divide: 15 + 2 = 7, with 1 left over: a Va b ) vxzy5 Divide with both exponents: 2 + 2 = 1, with no remainder 5 + 2 = 4 with a remainder of 1 xy 2 y Try - #2: Convert each expression. Assume all variables represent positive real numbers. a) vyll b) x8y 13