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11.2A

11.2A. Simplify and Multiply Square Roots. Squaring a Number . When a number is squared, it is multiplied to itself: . 1. 5. 5. 25. -3. -3. 9. Notice squaring any number always results in a ___________________ number. . positive. Taking the Square Root of a Number

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11.2A

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  1. 11.2A Simplify and Multiply Square Roots

  2. Squaring a Number When a number is squared, it is multiplied to itself: 1 5 5 25 -3 -3 9 Notice squaring any number always results in a ___________________ number. positive

  3. Taking the Square Root of a Number Just as subtracting is the opposite of adding and dividing is the opposite of multiplying, the opposite of squaring is ____________ ______________. square rooting

  4. Ex 1: Find the square roots of the following numbers: 1 3 m 23 Not possible!

  5. Ex 2: Find the following: (Think of the negative sign in front as just being negative one multiplied to the positive root.) –5 –23

  6. –m –x

  7. x2 y3 2

  8. Factor tree inside radical Circle any pairs Multiply pairs w/ # in front Multiply loners back inside

  9. Ex 4: Simplify a) = 2 5 4 5 2 2

  10. b) = 6 2 36 2 6 6 3 2 3 2

  11. Ex 4: Simplify c) = 5 x 2 25 x 2 x 5 5

  12. Ex 4: Simplify d) = 2 x3 6 x 12 2 x x x x x 6 2 3 2

  13. Ex 4: Simplify e) 6 x = 2 9 2 x x 3 3

  14. Ex 4: Simplify f) = 10 y8 3 4 3 2 2

  15. g) = 70 x5 10 10

  16. h) = 6 y4 10 8 5 2 4 2 2

  17. Multiply #s in front Multiply #s inside Factor tree and simplify

  18. 2 35

  19. = 35 5 49 7 7

  20. = 20x2 2 x 5 4 5 2 2

  21. = 240y10 4 y5 15 10 24 5 2 4 6 2 2 2 3

  22. 6 = 5t6 6 t3 5

  23. 14 = 12k8 k4 3 28 4 3 2 2

  24. Divide exponent by 2 Leave remainder 1 inside

  25. = x x x x x

  26. = p2 p 4

  27. = k9 6k 2 4 6 2 2 3 2

  28. = w7 2w 20 8 4 2 4 2 2 2 2

  29. = p3 p 6 6 6

  30. = x7 7x 2 7 4 2 2

  31. 63y5 = y2 7y 3 9 7 3 3

  32. 80d5 = d2 5d 4 8 10 5 4 2 2 2 2

  33. 150x7 = x3 6x 5 10 15 2 5 3 5

  34. 243x13 = x6 3x 9 9 27 3 3 3 9 3 3

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