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Topic 6: Simplify radicals Simplify. 1. 4. 4 32 x8 y 9 z19 2. 45 y12 z10 2x 5. 8 x 4 yz 3 4 2 x 2 y 3 z 7 4 6 r 4 s9 2r 5 6. 2 6+ x 8. 3 27c 2 − 2 108c 2 − 48c 2 10. 4 x + 12. (2 1 1 + x x )( 2 ( 7. 18 + 8 4 x x−y ( ) ) 13. 4 3 − 2 3 + 2 18 3 Answers 1. 2 x 2 y 2 z 4 4 2 yz 3 4. 3 y 6 z 5 10 x 2x 7. 4x + 4 y x x − y2 1 10. 2 x 2 + x 12. 18 x − 3 xy − y 2. 2 xyz 2 4 x 2 z 2 5. ) 9. 4r 7 s 5 + 3r 2 r 3 s 5 − 2rs r 5 s 3 11. 2 5 − 3 3x − y 3 3x + y 3. s 6 32r 5 s 3 2r 8. − 7c 3 3. 10 6. 12 − 2 x 36 − x 9. 3r 3 s 2 rs 11. 29 − 12 5 13. 3 3 + 6 2