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Warm-Up: November 15, 2011 – Factor

Warm-Up: November 15, 2011 – Factor. Homework Questions?. Homework – page 243 #45. Roots of Real Numbers. Section 5-5. Square Roots. For any real numbers a and b, if a 2 =b, then a is a square root of b. If b>0, then there is both a positive and a negative square root.

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Warm-Up: November 15, 2011 – Factor

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  1. Warm-Up: November 15, 2011 – Factor

  2. Homework Questions?

  3. Homework – page 243 #45

  4. Roots of Real Numbers Section 5-5

  5. Square Roots • For any real numbers a and b, if a2=b, then a is a square root of b. • If b>0, then there is both a positive and a negative square root. • If b<0, then there is no real square root

  6. nth Roots • For any real numbers a and b, if an=b, then a is a nth root of b.

  7. Simplifying Radicals • The principal root is the nonnegative root • If the radical sign is given to you, only find the principal root. • If a – or a ± proceeds the radical, first find the principal root, then apply the – or ±. • If you introduce a radical, consider all possible roots

  8. Example 1 – Simplify

  9. You-Try #1 – Simplify

  10. Simplifying with Absolute Values • When you find a root of an even power and get an odd power, put it inside an absolute value. • Ensures that your answer is non-negative.

  11. Example 2 – Simplify

  12. You-Try #2 – Simplify

  13. Approximating Radicals • Square roots: [2nd] [x2] radicand • Higher roots (TI-83): index [MATH] [5:x√] radicand

  14. Example 3 • Approximate the following to three decimal places

  15. You-Try #3 • Approximate the following to three decimal places

  16. Assignment • Page 248 #15-55 odd, 62, 66, 67-72

  17. Warm-Up: November 16, 2011 • Simplify:

  18. 5-4 Skills Practice Worksheet

  19. 5-4 Skills Practice Worksheet

  20. 5-4 Practice Worksheet

  21. 5-4 Practice Worksheet

  22. Homework Questions?

  23. Quiz Details • Sections 5-1 through 5-4 • No notes • You may use a calculator, but do not need one • Will have a matching section with all of the formulas • Review all of your homework and notes • Some questions will come directly from these sources

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