# 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 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:

Essential Question: I put my root beer in a square cup… now it’s just beer.

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

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

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.

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

7-2: Multiplying and Dividing Radical Expressions

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

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

Essential Question: Describe how to multiply and divide two nth roots, both of which are real numbers.

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.

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

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:

7-2: Multiplying and Dividing Radical Expressions

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:

7-2: Multiplying and Dividing Radical Expressions