1. x 5√3 10

3.  45  33  75  28  50  27  112  180

4.  2  3  4  5  6  7  8  9  10  11  12  13  14  15 2 2 2 2 2 2 2 2 2 2 2 2 2 2

5.  WE SAY THAT A RADICAL is "simplified" when the radical has no square factors.square  What is a square factor?  A square factor is one of the square numbers that we listed on the last slide (the numbers in red) Square numbers 1 4 9 16 25 36 49 64 81 100 Square roots 1 2 3 4 5 6 7 8 9 10

6. The square root of a product is equal to the product of the square roots of each factor.

7.  Simplify :  Step 1: List the factors  Step 2: Are there any square factors?  Step 3: Pull square factors out by taking the square root

8.  Simplify  List the factors

9.  Simplify

12. 1. 2. 3. 4.

13.  Simplify H ERE IS THE RULE for multiplying radicals:

14.  You have to remove the radical when it is in the denominator place

20. 45