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Warm up Identify the property of addition demonstrated by each equation. 1. 2. 3. 4. 5. 6. Warm up 1. 2. 3. 4. 5. 6. Be seated before the bell rings DESK homework Warm-up (in your notes) Agenda: Warmup Go over hw Quiz Note: 1.3 Quiz – Thursday (today) Test – next Tuesday 8/18 Notebook 1 Table of content Page 1) 1-1 Sets of Numbers /1.2 Properties of Numbers 2) 1-3 Square Roots 1 1-3 Square Roots Glue in notes Square root 1 = 1 4 = 2 9 = 3 16 = 4 25 = 5 36 = 6 49 = 7 64 = 8 Square root 81 = 9 100 = 10 121 = 11 144 = 12 169 = 13 196 = 14 225 = 15 1-3 Square Roots Radical symbol Radicand 4 2 4 2 4 2 w/o sign in front we want only the positive value + indicates the positive value - In front indicates the negative value How to estimate Square Roots 1. Find two perfect square the 14 is in between 9 14 5 2. Find the difference between : 1st & 2nd, 1st & 3rd 3. Divide the differences 7 5/7= .714 3.714 16 Estimate Square Roots One More Try! 36 38 49 2 11 2/11= .18 6.18 Estimate Square Roots You Try! a) 7 b) 29 Product Property of Squares The product of square roots is equal to the square root of the product. Example: Quotient Property of Squares The quotient of square roots is equal to the square root of the quotient. Example: Like Radicals Radicals that have the same “radicand” (same number inside the radical) can be combined. Keep radical and add coefficients. Example of Like Radicals: Unlike Radicals: Example : Simplifying Square–Root Expressions Simplify each expression. A. B. C. D. More examples Simplify each expression. A. B. C. D. Adding and Subtracting Square Roots Add. : Adding and Subtracting Square Roots Subtract. Simplify radical terms. Combine like radical terms. More Check It Out! Add or subtract. Combine like radical terms. More examples! Add or subtract. Simplify radical terms. Combine like radical terms. fraction has a denominator that is a square root, you can simplify it by rationalizing the denominator. If a Rationalizing the Denominator Simplify by rationalizing the denominator. Multiply by a form of 1. =2 Rationalizing the Denominator Simplify the expression. Multiply by a form of 1. Check It Out! Example 3a Simplify by rationalizing the denominator. Multiply by a form of 1. Check It Out! Example 3b Simplify by rationalizing the denominator. Multiply by a form of 1. Lesson Quiz: Part I 1. Estimate to the nearest tenth. Simplify each expression. 2. 3. 4. 5. 6.7 Lesson Quiz: Part II Simplify by rationalizing each denominator. 6. 7. Add or subtract. 8. 9.