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Ch 10.2 (2)

Ch 10.2 (2). Objective: To simplify radical expressions involving division. Definitions. Quotient Property The square root of a quotient equals the quotient of the square roots of the numerator (top) and denominator (bottom). For example, = and =. a b. √a √b. √.

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Ch 10.2 (2)

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  1. Ch 10.2 (2) Objective: To simplify radical expressions involving division.

  2. Definitions Quotient Property The square root of a quotient equals the quotient of the square roots of the numerator (top) and denominator (bottom). For example, = and = a b √a √b √ √a √b a b √

  3. Rules for Division (the next slide has more detailed info) Simplifying The values must be EXACTLY the same if they are to be crossed out. For example: , , Rationalizing the Denominator The denominator should NOT contain a radical expression. In order to eliminate the radical, you must multiply both the numerator (top) and denominator (bottom) by the radical expression. (√3 and 3 are not the same and cannot be crossed out! 2 √3 √3 2 3 3 2 √3 3

  4. Three Rules for Simplifying Radical Expressions 1) Leave no pairs in a radicand. 2) Leave no fractions or decimals in a radical. 3) Leave no radicals in a denominator (bottom).

  5. Examples of Division 1) 2) 3)

  6. More examples of Division 4) 5)

  7. More Example of Division. 6) 7)

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