1. Unit: Radical Functions 7-2: Multiplying and Dividing Radical Expressions
Essential Question: I put my root beer in a square cup… now it’s just beer.

2. 7-2: Multiplying and Dividing Radical Expressions
If two terms share the same type of radical, the numbers underneath can be multiplied together.

3. 7-2: Multiplying and Dividing Radical Expressions
Your turn:
Multiply. Simplify, if possible.

4. 7-2: Multiplying and Dividing Radical Expressions
Simplifying Radical Expressions (radicals that contain variables) works the same way as simplifying square roots.
Alternately: Use factor trees to simplify numbers underneath roots and the rules of exponent division to simplify variables underneath roots.

5. 7-2: Multiplying and Dividing Radical Expressions
Your turn:
Simplify. Assume all variables are positive.

6. 7-2: Multiplying and Dividing Radical Expressions
To multiply radical expressions, multiply terms underneath the radical, then simplify

7. 7-2: Multiplying and Dividing Radical Expressions
Your turn
Multiply and simplify. Assume all variables are positive.

8. 7-2: Multiplying and Dividing Radical Expressions
Assignment
Page 377
1 – 22 (all problems)

9. Unit: Radical Functions 7-2: Multiplying and Dividing Radical Expressions (Day 2)
Essential Question: Describe how to multiply and divide two nth roots, both of which are real numbers.

10. 7-2: Multiplying and Dividing Radical Expressions
Dividing has the same limitations as multiplying: if two terms share the same type of radical, they can be combined and then simplified.

11. 7-2: Multiplying and Dividing Radical Expressions
Your turn:
Divide and simplify. Assume all variables are positive.

12. 7-2: Multiplying and Dividing Radical Expressions
Rationalizing the Denominator
Rationalizing means to rewrite a problem so there are no root symbols in the denominator of a fraction.
After dividing (if possible), multiply the numerator and denominator by whatever root remains on the denominator.
Examples using square roots:

13. 7-2: Multiplying and Dividing Radical Expressions
Your turn:
Rationalize the denominator.

14. 7-2: Multiplying and Dividing Radical Expressions
Rationalizing the Denominator
Rationalizing means to rewrite a problem so there are no root symbols in the denominator of a fraction.
Example using a cube root:

15. 7-2: Multiplying and Dividing Radical Expressions
Your turn:
Rationalize the denominator.

16. 7-2: Multiplying and Dividing Radical Expressions
Assignment
Page 377
23 – 34 (all problems)