IA_GPS_31 - 3 4 x y = Assume all variables represent...

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R0907 a.s. http://faculty.valenciacc.edu/ashaw/ INTERMEDIATE ALGEBRA GPS # 31 7.2 SIMPLIFYING RADICAL EXPRESSIONS NAME: Useful Guidelines: If n a and n b are real numbers, and 0 b ! and n is a natural number, then * n n n a b ab ! = and n n n a a b b = . For example: 4 4 4 8 2 8 2 2 ! = ! = and 3 3 3 8 8 2 27 3 27 = = * Rationalizing the Denominator: Writing the quotient without a radical expression in the denominator. Evaluate the following: 1. a) 3 3 9 3 ! = b) 3 3 16 4 ! = c) 5 5 9 5 t ! = d) 4 3 m pq ! = e) 4 4 10 5 ! = f) 5
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Unformatted text preview: 3 4 x y ! = Assume all variables represent positive real numbers. Simplify the following (if possible): 2. a) 3 64 8 ! = b) 81 49 = c) 4 81 16 = d) 9 3 125 k ! = e) 4 2 64 m a = f) 4 4 8 16 x y = 3. a) 3 54 = b) 3 32 ! = c) 11 ! = d) 3 4 x = e) 5 4 3 27 p q = f) 4 5 32 a ! = 4. Rationalize each denominator. Assume that all variables are positive. a) 3 7 = b) 2 2 5 = c) 5 3 7 = d) b a 4 = e) n m 2 9 = f) 3 2 x xy =...
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This note was uploaded on 10/18/2011 for the course MAC 1103 taught by Professor Shaw during the Summer '11 term at Valencia.

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