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Unit: Radical Functions 7-2: Multiplying and Dividing Radical Expressions

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. 7-2: Multiplying and Dividing Radical Expressions.

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Unit: Radical Functions 7-2: Multiplying and Dividing Radical Expressions

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  1. Unit: Radical Functions7-2: 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 Functions7-2: 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)

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