Example 3- Using the Multiplication Property to Simplify a Radical: Simplify the expression: v56 Try to find factors of 56 that are perfect squares: V4 . 14 = 2V2 . 7 = 2V14 The only perfect square factor of 56 is 4; therefore, 2 and 7 stayed under the radical and multiplied back together as 14. Try - #3: Simplify the expression: V24 Example 4 - Using Multiplication Property to Simplify Radicals: Simplify: 6150 Again, try to find perfect square factors of 50. Once we find some, when we square root it, we multiply that number to the 6. 6V/25 . 2 = 6 . 5V2 = 30V2 Try - #4: Simplify: 5V18 Example 5- Using the Multiplication Property to Simplify Radicals: Simplify the expression. Assume that the variables represent positive real numbers. a) V50 V50 = 152 . 2 5V2 b) 5V24a6 524a6 = 523 . 3 . a6 5 . 2a3 V6 10a3 V6 c) V81xty3 V81x4y3 = 134x4y3 32 x2 y y 9x2 yy