1. Unit: Radical Functions 7-3: Binomial Radical Expressions
Essential Question: What must be true of radical expressions in order to add them, but not multiply them?

2. 7-3: Binomial Radical Expressions
Just like how you can add and subtract like terms, you can add and subtract like radicals.
Just like how you can’t add/subtract unlike terms, you can’t add/subtract unlike radicals.

3. 7-3: Binomial Radical Expressions
Your Turn
Add or subtract, if possible:
Not possible

4. 7-3: Binomial Radical Expressions
Sometimes radicals can be added/subtracted, but they need to be simplified first.

5. 7-3: Binomial Radical Expressions
Your Turn
Simplify

6. 7-3: Binomial Radical Expressions
When radicals are in the form of binomials, they can be multiplied together using FOIL

7. 7-3: Binomial Radical Expressions
Your Turn
Multiply

8. 7-3: Binomial Radical Expressions
Assignment
Page 382
Problems 1 – 6, all – 17, odd (show work)

9. Unit: Radical Functions 7-3: Binomial Radical Expressions (Day 2)
Essential Question: What must be true of radical expressions in order to add them, but not multiply them?

10. 7-3: Binomial Radical Expressions
Conjugates
Conjugates are expressions that differ only by the sign between the two terms. Conjugates are used to eliminate radicals in an expression, as the result is an integer.

11. 7-3: Binomial Radical Expressions
Your Turn
Multiply each pair of conjugates

12. 7-3: Binomial Radical Expressions
Rationalizing the denominator
Recall that when we rationalized the denominator to a single radical expression, we simply multiplied numerator and denominator by that radical:

13. 7-3: Binomial Radical Expressions
Rationalizing the denominator
When dealing with a binomial for a denominator, we multiply numerator and denominator by the denominator’s conjugate

14. 7-3: Binomial Radical Expressions
Your Turn
Rationalize the denominator

15. 7-3: Binomial Radical Expressions
Your Turn
Rationalize the denominator

16. 7-3: Binomial Radical Expressions
Assignment
Page 382
Problems 19 – 26, all (show work)