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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Warm up Identify the property of addition demonstrated by each equation

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

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

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

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

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

Estimate Square Roots /11= One More Try!

You Try! Estimate Square Roots

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:

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

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

Add. Adding and Subtracting Square Roots

Subtract. : Adding and Subtracting Square Roots 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

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

Simplify the expression. Rationalizing the Denominator 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. 6.7 Simplify each expression

Lesson Quiz: Part II Simplify by rationalizing each denominator Add or subtract.