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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 Y OUR 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 Y OUR 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 Y OUR 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 Y OUR 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 Y OUR 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 Y OUR 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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