Name Class 5-6 Date Practice Form G Simplifying Radicals Simplify each radical expression. 1. 169 4. 5 112 7. 10. 63t 4 2. 200 3. 5. 68 6. 3 121 8. 48n3 9. 60m7 3 12. 2b 136b 2 70 15. 2 3 11. 3 45y x 150 x 2 125 Simplify each product. 13. 6 • 16. 4 7 30 • 19. 3 40x 42 • 2 56x5 14. 5 • 17. 4a • 12a 5 20. 3 12t 3 • 4 18. • 2n 2 • 21. 4 14d 2 20t 3 22. A garden is shaped like a square with area 4w2. What is the length of each side of the garden? 23. Find two pairs of positive integers a and b such that a • b = 6 2. Pearson Texas Algebra I Copyright © by Pearson Education, Inc., or its affiliates. All Rights Reserved. 96 30n • 1 28d 3 2 Name Class 5-6 Date Practice (continued) Form G Simplifying Radicals Simplify each radical expression. 24. 36 49 25. 81 16 26. 100 225 27. 18 y 36 y 3 28. 49 x5 25 x 29. 16a 2 4b4 30. 5 2 31. 12 15 32. 72 40 33. 25b 5b3 34. 24 3n 35. 8 30m3 36. You are making a mosaic design on a square tabletop. You have already covered half of the tabletop with 150 one-inch square tile pieces. a. What are the dimensions of the tabletop? b. What is the area of the tabletop? SA gives the radius of a sphere with surface area SA. What is 4 the radius of a sphere with the given surface area? Use 3.14 for π. a. 1256 in.2. b. 200.96 cm 2 c. 379.94 ft2 37. The equation r = 38. Open-Ended What are three radical expressions that simplify to 2x 3 ? Pearson Texas Algebra I Copyright © by Pearson Education, Inc., or its affiliates. All Rights Reserved.
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