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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.

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Presentation on theme: "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."— Presentation transcript:

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  Y OUR 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  Y OUR 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  Y OUR 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  Y OUR 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  Y OUR 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  Y OUR TURN :  Rationalize the denominator. 

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


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