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Simplifying

Simplifying. Radical Expressions. Warm Up: Simplify. Here are the answers:. Essential Question: When is a radical expression completely simplified?. The radicand contains no fractions. No radicals appear in the denominator.(Rationalization).

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Simplifying

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  1. Simplifying Radical Expressions

  2. Warm Up: Simplify

  3. Here are the answers:

  4. Essential Question: When is a radical expression completely simplified?

  5. The radicand contains no fractions. No radicals appear in the denominator.(Rationalization) The radicand contains no factors that are nth powers of an integer or polynomial. Essential Question: When is a radical expression completely simplified?

  6. Essential Question: What are like radicals?

  7. To add or subtract radical expressions you must have “like radicals”. Like radicals are when the index AND radicand are the same.

  8. Essential Question: How can you add and subtract radicals? • Simplify all radicals if you can. • Combine radicals • Complete #1-6 on WS

  9. Here is an example that we will do together. Rewrite using factors Combine like terms

  10. RADICAL EXPRESSIONSEX-adding • RULES • Have to have same number on inside • Have to have same index

  11. RADICAL EXPRESSIONSEX-adding

  12. Try this one on your own.

  13. How can I multiply binomial radical expressions?

  14. You can multiply binomial radical expressions by using the FOIL method of multiplying binomials. Let us try one.

  15. Since there are no like terms, you can not combine.

  16. Lets do another one.

  17. Essential Question: -How can you rationalize a radical out of the denominator? -What is a conjugate?

  18. Review - RATIONALIZING a DENOMINATOR • How to rationalize using conjugates • If there is a radical in the bottom, then you must rationalize it.

  19. When there is a binomial with a radical in the denominator of a fraction, you find the conjugate and multiply. This gives a rational denominator.

  20. Simplify: Multiply by the conjugate. FOIL numerator and denominator. Next

  21. Combine like terms Try this on your own:

  22. Here are a mixed set of problems to do.

  23. Answers to the mixed set of problems.

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