Warm-up: Simplify. (y5 + 32)(y + 2)-1 2. January13, 2012 At the end of today, you will be able to simplify radical expressions. Warm-up: Simplify. (y5 + 32)(y + 2)-1 2. QUIZ Friday 1/20 Sections 5.6, 5.7 HW 5.6b: PG. 254 #29-32, 37-40, 43, 45
Correct HW 5.6a 15. 16.
Lesson 5.6b Simplifying Radicals Like Radical Expressions You can add and subtract radicals if they have the same number under the radical. For example: Example 1: Simplify. First, simplify the radicals to get like radicals.
Multiplying Radicals Simplify, then multiply, then simplify again if needed. Example 2: A radical multiplied to itself cancels the the radical.
Practice Time! Simplify to its simplest form. 1. 2. 3. 4. *use FOIL/ Distributive Prop 5. *These are called conjugates
Dividing Radicals Rationalizing the Denominator NO Radicals in the Denominator! Example 3: Simplify Rationalize it, Yo! A radical multiplied to itself cancels the the radical. Rationalizing the denominator means you are multiplying the same radicand to get rid of the radical in the denominator. Simplify
PRACTICE RATIONALIZING 2. 3. *Use the conjugate to rationalize