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Warm up 1. 2. 3. 4. 5. 6. Identify the property of addition demonstrated by each equation. 1. 2. 3. 4. 5. 6.

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Be seated before the bell rings DESK homework Warm-up (in your notes) Quiz – Thursday (today) Test – next Tuesday 8/18 Agenda: Warmup Go over hw Quiz Note: 1.3

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Notebook Table of content Page 1 1 1) 1-1 Sets of Numbers /1.2 Properties of Numbers 2) 1-3 Square Roots 1-3 Square Roots Glue in notes

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Square root 1 = 1 4 = 2 9 = 3 16 = 4 25 = 5 36 = 6 49 = 7 64 = 8 81 = 9 100 = 10 121 = 11 144 = 12 169 = 13 196 = 14 225 = 15 Square root

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1-3 Square Roots Radical symbol Radicand w/o sign in front we want only the positive value + indicates the positive value - In front indicates the negative value

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How to estimate Square Roots 1.2.3. Find two perfect square the is in between Find the difference between : 1st & 2nd, 1st & 3rd 5 7 5/7=.714 3.714 Divide the differences

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Estimate Square Roots 2 11 2/11=.18 6.18 One More Try!

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You Try! Estimate Square Roots

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Product Property of Squares The product of square roots is equal to the square root of the product. Example:

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Quotient Property of Squares The quotient of square roots is equal to the square root of the quotient. Example:

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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:

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Simplify each expression. Example : Simplifying Square–Root Expressions A. B. C.C. D.

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More examples A. Simplify each expression. B. C. D.

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Add. Adding and Subtracting Square Roots

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Subtract. : Adding and Subtracting Square Roots Simplify radical terms. Combine like radical terms.

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More Check It Out! Add or subtract. Combine like radical terms.

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More examples! Add or subtract. Simplify radical terms. Combine like radical terms.

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fraction has a denominator that is a square root, you can simplify it by rationalizing the denominator. If a

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Simplify by rationalizing the denominator. Rationalizing the Denominator Multiply by a form of 1. = 2

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Simplify the expression. Rationalizing the Denominator Multiply by a form of 1.

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Check It Out! Example 3a Simplify by rationalizing the denominator. Multiply by a form of 1.

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Check It Out! Example 3b Simplify by rationalizing the denominator. Multiply by a form of 1.

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Lesson Quiz: Part I 1. Estimate to the nearest tenth. 6.7 Simplify each expression. 2. 3. 4. 5.

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Lesson Quiz: Part II Simplify by rationalizing each denominator. 6. 7. 8. 9. Add or subtract.

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