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Radicals Products & Quotients of Radicals (section 7.5)

Radicals Products & Quotients of Radicals (section 7.5). Target Goals: Simplify radical expressions using multiplication & division Rationalize the denominator of a fraction containing a radical expression. OPENER – Simplify. SIMPLIFYING RADICAL EXPRESSIONS.

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Radicals Products & Quotients of Radicals (section 7.5)

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  1. RadicalsProducts & Quotients of Radicals (section 7.5) Target Goals: Simplify radical expressions using multiplication & division Rationalize the denominator of a fraction containing a radical expression

  2. OPENER – Simplify

  3. SIMPLIFYING RADICAL EXPRESSIONS • A radical expression is in simplified form when the following conditions are met: • The index is as small as possible. *** • The radicand contains no factors (other than 1) that are the nth powers of an integer or polynomial. • The radicand contains no fractions. • No radicals appear in the denominator.

  4. PRODUCT PROPERTY OF RADICALS

  5. Ex 1a) Simplify:

  6. Ex 1b) Simplify:

  7. QUOTIENT PROPERTY OF RADICALS

  8. Ex 2a) Simplify:

  9. Ex 2b) Simplify:

  10. Ex 2c) Simplify:

  11. Ex 3a) Simplify:

  12. Ex 3b) Simplify:

  13. EXIT SLIP: Simplify each of the following: • 1) • 2) • 3)

  14. Directions • You will be presented with a problem to work on individually. • Try to not use your notes. • If you get the question correct, that will correspond to a homework problem that you will NOT be required to do. • Keep track of the homework problems you are NOT required to do.

  15. 1. Simplify: 0

  16. If you got #1 right, you don’t have to do #18 on your homework.

  17. 2. Simplify: 10

  18. If you got #2 right, you don’t have to do #19 on your homework.

  19. 3. Simplify: 10

  20. If you got #3 right, you don’t have to do #22 on your homework.

  21. 4. Simplify: 10

  22. If you got #4 right, you don’t have to do #23 on your homework.

  23. 5. Simplify: 10

  24. If you got #5 right, you don’t have to do #26 on your homework.

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