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IA_GPS_32 - For example 3 3 3 3 3 3 5 2 5 4 7 2 7 3 5 6 7 =...

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R0907 a.s. http://faculty.valenciacc.edu/ashaw/ INTERMEDIATE ALGEBRA GPS # 32 7.3 OPERATIONS ON RADICAL EXPRESSIONS I 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 = = * NOTE: n n n a b a b + ! + and n n n a b a b ! " ! Only radical expression with the same index and the same radicand may be combined (combining the like terms or same family only).
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Unformatted text preview: For example: 3 3 3 3 3 3 5 2 5 4 7 2 7 3 5 6 7 + + + = + . Assume all variables represent positive real numbers. Simplify the following (if possible): 1. a) 3 3 15 6 15 + b) 20 45 ! c) 2 45 20 a a + d) 3 5 5 2 ! 2. a) 3 3 3 16 2 250 ! b) 5 12 3 27 ! c) 2 6 5 4 4 81 16 x y x y + d) 3 3 2 5 7 8 3 m n m n + 3. a) 32 32 2 3 25 8 + c) 3 3 3 12 9 8 16 x x x +...
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