Unit 2 Notes Lesson 2.01 Square Roots Square the following: 112 = Definition of Square Root- List of Perfect Squares Find the Square Roots of the following: /169 = /24 = Lesson 2.02 Irrational Number Determine if these numbers are rational or irrational: Real Numbers C Radonal Number 2: Integers 0.44 ": Whole Numbers 1: Imraannal Numbers N: Natural Numbers VIZ V0.4 Definition of a Rational Number: Definition of an Irrational Number: Lesson 2.03 Simplifying Radical Expressions Simplify the Radical: Product Property of Radicals: V196 V288 Quotient Property of Radicals: Simplify completely: Lesson 2.04 Multiplying Radical Expressions Multiply and Simplify: What are the rules for multiplying radicals? (21 . 3 = 5V/3 . 4/2 = 4V12 . 21/3 = Lesson 2.05 Adding and Subtracting Radical Expressions 817+ 121/7 - V6 5:40-21/90 What are the rules for adding and subtracting radicals? Lesson 2.06 Properties of Exponents m . m . m Product of Powers Property 4- Negative Exponent Property yIdyll Quotient of Powers Property 1814 Zero Power Property53 Power of a Power Property 53 Power of a Product Property (n3 )+ (3x)* Power of a Quotient Property Lesson 2.07 Growth and Decay Equations Henry bought a classic car in the year 2000. He believes that the Exponential Growth Formula value of the car depreciates exponentially at a rate of 4% each year. y = b(1 + ry' If the car was originally valued at $70,000, what should Henry expect where y = the total amount, b = the initial amount, the value of the car to be in 2012? f = time, and / = rate of growth Exponential Decay Formula y = b(1 - r) A colony of ants has 50,000 members. Sione thinks the colony will where y = the total amount, b = the initial amount, f- time, and = rate of decay grow at a rate of 3.1% each year. How many ants should he expect there to be in the colony after 10 hours? Additional Notes