PreCalculus Class Notes RP3 Operations with Radicals Operations with Radicals Multiply/Divide Radicals ( 3x 5 x3 )( 4 15x ) 2 3 8m 3 n 4 ⋅ n m2 3 4 64 x 7 4 2x Multiply/Divide Radicals with Different Indices 3 3 a 3b2 ⋅ a 2b Add/Subtract Radicals (Like Terms) 2 4 64 − 4 324 + 4 4 3 xy 2 − x 16 ⋅ 4 8 3 xy 4 + 3 x 4 y Distribute and Combine Radicals ( (5 − 5 )(5 + 3 5 ) x −2 3 ) 2 Rationalize Radicals (Monomial Denominator) 1 8 5b 72 3 5x 2 2x Rationalize Radicals (Binomial Denominators) 3 −1 2 z 3+2 2− z
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