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Exploring Perfect Cubes and Their Roots

Understand perfect cubes, square roots, and nth roots with simplified examples and answers. Discover how to find dimensions of a cubic storage room. Learn more at AssignmentPoint.

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Exploring Perfect Cubes and Their Roots

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  1. What are Perfect Cubes www.assignmentpoint.com

  2. What are Perfect Cubes? • 13 = 1 x 1 x 1 = 1 • 23 = 2 x 2 x 2 = 8 • 33 = 3 x 3 x 3 = 27 • 43 = 4 x 4 x 4 = 64 • 53 = 5 x 5 x 5 = 125 • and so on and on and on….. www.assignmentpoint.com

  3. 2 x 2 = 4 2 2 www.assignmentpoint.com

  4. 3 x 3 = 9 3 3 www.assignmentpoint.com

  5. 4 x 4 = 16 4 4 www.assignmentpoint.com

  6. 5 x 5 = 25 5 5 www.assignmentpoint.com

  7. 2 The square root of 4 is www.assignmentpoint.com

  8. 3 The square root of 9 is www.assignmentpoint.com

  9. 4 The square root of 16 is www.assignmentpoint.com

  10. 5 The square root of 25 is www.assignmentpoint.com

  11. Cubes 5 6 7 8 1 2 3 4 www.assignmentpoint.com

  12. 2 x 2 x 2 = 8 2 2 2 www.assignmentpoint.com

  13. 3 x 3 x 3 = 27 www.assignmentpoint.com

  14. NTH ROOTS • a square (second) root is written as: • a cube (third) root is written as: • a fourth root is written as:  • a fifth root is written as:  www.assignmentpoint.com

  15. SIMPLIFY 1. 2. 3. www.assignmentpoint.com

  16. ANSWERS • 1. 7 • 2. -2 • 3. 3xy2 www.assignmentpoint.com

  17. CUBES: Cathy is building a cubic storage room. She wants the volume of the space to be 1728 cubic feet. What should the dimensions of the cube be? www.assignmentpoint.com

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