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Squares and Square Roots

Squares and Square Roots.

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Squares and Square Roots

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  1. Squares and Square Roots

  2. Context Consider an 8 cm square: To use the side length to find the area, square it.We write; (8 cm)2 = 8 cm x 8 cm = 64 cm2 To use the area to find the side length, we find the square root. We write; 64 cm2 = 8 cm Squaring and finding the square root are opposite operations. 8 cm Area = 64 cm2 8 cm 8 cm 8 cm

  3. Memorize these Perfect Squares: Integer Square 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15

  4. Memorize these Perfect Squares: Integer Square 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15

  5. Memorize these Perfect Squares: Integer Square 1 1 2 4 3 4 5 6 7 8 9 10 11 12 13 14 15

  6. Memorize these Perfect Squares: Integer Square 1 1 2 4 3 9 4 5 6 7 8 9 10 11 12 13 14 15

  7. Memorize these Perfect Squares: Integer Square 1 1 2 4 3 9 4 16 5 6 7 8 9 10 11 12 13 14 15

  8. Memorize these Perfect Squares: Integer Square 1 1 2 4 3 9 4 16 5 25 6 7 8 9 10 11 12 13 14 15

  9. Memorize these Perfect Squares: Integer Square 1 1 2 4 3 9 4 16 5 25 6 36 7 8 9 10 11 12 13 14 15

  10. Memorize these Perfect Squares: Integer Square 1 1 2 4 3 9 4 16 5 25 6 36 7 49 8 9 10 11 12 13 14 15

  11. Memorize these Perfect Squares: Integer Square 1 1 2 4 3 9 4 16 5 25 6 36 7 49 8 64 9 10 11 12 13 14 15

  12. Memorize these Perfect Squares: Integer Square 1 1 2 4 3 9 4 16 5 25 6 36 7 49 8 64 9 81 10 11 12 13 14 15

  13. Memorize these Perfect Squares: Integer Square 1 1 2 4 3 9 4 16 5 25 6 36 7 49 8 64 9 81 10 100 11 12 13 14 15

  14. Memorize these Perfect Squares: Integer Square 1 1 2 4 3 9 4 16 5 25 6 36 7 49 8 64 9 81 10 100 11 121 12 13 14 15

  15. Memorize these Perfect Squares: Integer Square 1 1 2 4 3 9 4 16 5 25 6 36 7 49 8 64 9 81 10 100 11 121 12 144 13 14 15

  16. Memorize these Perfect Squares: Integer Square 1 1 2 4 3 9 4 16 5 25 6 36 7 49 8 64 9 81 10 100 11 121 12 144 13 169 14 15

  17. Memorize these Perfect Squares: Integer Square 1 1 2 4 3 9 4 16 5 25 6 36 7 49 8 64 9 81 10 100 11 121 12 144 13 169 14 196 15

  18. Memorize these Perfect Squares: Integer Square 1 1 2 4 3 9 4 16 5 25 6 36 7 49 8 64 9 81 10 100 11 121 12 144 13 169 14 196 15 225

  19. Ex) Between what 2 integers does 40 lie?

  20. Ex) Between what 2 integers does 40 lie? Solution:

  21. Ex) Between what 2 integers does 40 lie? Solution: We know 36 = 6

  22. Ex) Between what 2 integers does 40 lie? Solution: We know 36 = 6 and 49 = 7

  23. Ex) Between what 2 integers does 40 lie? Solution: We know 36 = 6 and 49 = 7 So . . .

  24. Ex) Between what 2 integers does 40 lie? Solution: We know 36 = 6 40 and 49 = 7 So . . .

  25. Ex) Between what 2 integers does 40 lie? Solution: We know 36 = 6 40 lies between 6 & 7 and 49 = 7

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