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Operations with Radicals: Add, Subtract, Multiply, Divide, and Simplify

This lesson covers operations with radicals, adding, subtracting, multiplying, dividing, and simplifying. Learn to combine like terms and reduce radical indexes. Homework assigned includes practice with special products.

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Operations with Radicals: Add, Subtract, Multiply, Divide, and Simplify

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  1. Warm–up #4 1. Evaluate 2. Write as exponents 3. Simplify

  2. Warm–up #4 Solutions 1. Evaluate = = =

  3. Warm–up #4 Solutions 2. Write as exponents 3. Simplify

  4. Homework Log

  5. 9/22/15 Lesson 1 – 8 Operations with Radicals Day 1 Advanced Math/Trig

  6. Learning Objective • To add & subtract radicals • To multiply & divide radicals • To reduce the index

  7. Operations with Radicals Assume all variables are positive. 1. Pull out groups of 2 = 3 3 x =

  8. Operations with Radicals Assume all variables are positive. 2. Pull out groups of 3 = 2 x y =

  9. Adding or Subtracting Radicals Step 1: Simplify all radicals Step 2: If same index & radicand, combine like terms Radicand Index

  10. Adding or Subtracting Radicals 3. Different radicands cannot be simplified! 4. Different index cannot be simplified! 2. Not the same answer!

  11. Multiplying or Dividing Radicals 6. 5.

  12. Operations with Radicals 7. = 3 x y =

  13. Multiplying 8. ()()

  14. Multiplying 9. ()()

  15. Operations on Radicals 11. 10.

  16. Reducing Radical Index 12. Write in exponent form Convert back to radical form

  17. Reducing Radical Index 14. 13.

  18. Ticket Out the Door • Multiply by distributing, foiling, or box method ()() • Did you notice it’s a special product? What is it? • Multiply it using special product rules. Do you get the same answer?

  19. Homework #112 Pg. 77 #1 – 45 odd

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