Date: Sect 10.2 Day 1 Obj: To simplify radical expressions Warm up 1: List the perfect squares less than 400 Radical expressions containing variables: A variable with an even exponent is a perfect square. A variable with an odd exponent is the product of a perfect square and the variable. Warm up 2: Simplify the following radical expressions: a. − 121
±
b. 4
c. 49
− 81
Example 2: Simplify 54 n7 Assume n represents a nonnegative number. Radical expression: An expression that contains a radical A radical expression is in simplest form when: 1. 2. 3. Example 3: Simplify the following radical expressions. Assume all variables represent nonnegative numbers. Multiplication Property of Square Roots: For a > 0 and b > 0, ab = a ∗ b
Example 1: Simplify the following radical expressions a. 48
b. 75 c. 98 d. 50 e. a. 1000
20 a 2b 3
b. 3 150 b 8
c. 192 a 3 b 5 c 4
1