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Name Class 6-2 Date Practice Form G Multiplying and Dividing Radical Expressions Multiply, if possible. Then simplify. 1. 4. 3 4 25 2. 81 36 3. 45 3 75 5. 18 50 6. 3 27 3 16 3 4 Simplify. Assume that all variables are positive. 36x 3 7. 8. 125y 2 z 4 3 18k 6 9. 10. 3 16a12 11. x 2 y10 z 12. 4 256s 7 t12 13. 3 216x 4 y 3 14. 75r 3 15. 4 625u 5 v8 3 50 x 2 z 5 3 15 y 3 z Multiply and simplify. Assume that all variables are positive. 4 6 17. 9 x2 9 y5 18. 19. 4 2 x 3 8x 20. xy 4 xy 21. 9 2 3 y 9 x 2 y 4 3 12 xy 24. 7 3 y 2 2 6 x3 y 16. 22. 12 x 2 y 3xy 4 23. 3 Divide and simplify. Assume that all variables are positive. 25. 75 63xy 3 26. 6x 3 4x 2 29. 3 3x 31. (2 x ) 2 (5 y ) 4 2x2 y 7y 3 28. 54 x5 y 3 27. 3 32. 30. x 18 y 2 3 4 33. 12 y Prentice Hall Gold Algebra 2 • Teaching Resources Copyright © by Pearson Education, Inc., or its affiliates. All Rights Reserved. 13 243k 3 3k 7 162a 6a 3 Name Class 6-2 Date Practice (continued) Form G Multiplying and Dividing Radical Expressions Rationalize the denominator of each expression. Assume that all variables are positive. y 34. 5 9x 2 37. 4 40. 4 2x 3x 2 18 x 2 y 35. 36. 2 y3 xy 38. 3x x 8y 41. 7 xy 2 3 43. What is the area of a rectangle with length 175 in. and width 44. The area of a rectangle is 30 m2. If the length is 3 4 x2 39. 3 x2 3y 42. 3 3a 4b2 c 63 in.? 75 m, what is the width? 45. The volume of a right circular cone is V 13 r 2 h , where r is the radius of the base and h is the height of the cone. Solve the formula for r. Rationalize the denominator. 4 3 r 3 a. Use the formula to find r in terms of V. Rationalize the denominator. b. Use your answer to part (a) to find the radius of a sphere with volume 100 cubic inches. Round to the nearest hundredth. 46. The volume of a sphere of radius r is V Simplify each expression. Rationalize all denominators. Assume that all variables are positive. 47. 50. 14 21 6 2x 5 3 48. 51. 3 150 3 20 8 3 52. 2x 2 3( 12 6) 49. 5 3 xy 4 3 Prentice Hall Gold Algebra 2 • Teaching Resources Copyright © by Pearson Education, Inc., or its affiliates. All Rights Reserved. 14 25 xy 2