1. 7.3 Binomial Radical Expressions (Day 1)

2. Like Terms/Radicals Like radicals - radical expressions that have the same index and the same radicand When do like terms matter? When you are multiplying, adding, or both? Same radicand Same index Ex 1. You must have like terms when you add or subtract. Add or subtract if possible.

3. Sometimes the “like terms” are hidden… Ex 2. Ex 3. Simplify.

4. = = = Ex 4. Simplify. or =

5. Ex 5. = How do we solve this??? We use the distributive property. Multiply.

6. 1. 2. 3. 4. Simplify. White Boards

7. 1. 3. 2. 4. Simplify. White Boards

8. 1. 3. 2. 4. Simplify. White Boards

9. 7.3 Binomial Radical Expressions (Day 2)

10. Multiplying Binomial Radical Expressions Multiply using the FOIL method } simplify irst x first utside x outside nside x inside ast x last

11. Ex 1. Multiply.

12. Ex 2. Multiply.

13. Conjugates – *Notice that the disappeared! *Need to make the disappear in the denominator! are the sum and difference of the same two terms. Ex 3. Ex 4. Multiply. Rationalize each denominator. Simplify the answer.

14. Rationalizing Binomial Radical Denominators Multiply the top & bottom by the conjugate = FOIL 24 = 16 = 24 16 + 15 – 15 = 39 1 = Ex 5.

15. 1. 3. 2. 4. White Boards Multiply.

16. 1. 3. 2. 4. White BoardsRationalize each denominator. Simplify the answer. 3 7