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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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**7-2: Multiplying and Dividing Radical Expressions**

If two terms share the same type of radical, the numbers underneath can be multiplied together.

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**7-2: Multiplying and Dividing Radical Expressions**

Your turn: Multiply. Simplify, if possible.

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**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.

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**7-2: Multiplying and Dividing Radical Expressions**

Your turn: Simplify. Assume all variables are positive.

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**7-2: Multiplying and Dividing Radical Expressions**

To multiply radical expressions, multiply terms underneath the radical, then simplify

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**7-2: Multiplying and Dividing Radical Expressions**

Your turn Multiply and simplify. Assume all variables are positive.

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**7-2: Multiplying and Dividing Radical Expressions**

Assignment Page 377 1 – 22 (all problems)

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**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.

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**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.

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**7-2: Multiplying and Dividing Radical Expressions**

Your turn: Divide and simplify. Assume all variables are positive.

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**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:

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**7-2: Multiplying and Dividing Radical Expressions**

Your turn: Rationalize the denominator.

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**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:

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**7-2: Multiplying and Dividing Radical Expressions**

Your turn: Rationalize the denominator.

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**7-2: Multiplying and Dividing Radical Expressions**

Assignment Page 377 23 – 34 (all problems)

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7.1 nth Roots and Rational Exponents 3/1/2013. n th Root Ex. 3 2 = 9, then 3 is the square root of 9. If b 2 = a, then b is the square root of a. If b.

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