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Simplifying Radicals and Rational Exponents

Learn how to simplify radicals, rewrite them as rational exponents, and understand the rules for negative numbers under the radical. This worksheet provides practice questions and helpful tips.

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Simplifying Radicals and Rational Exponents

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Presentation Transcript

  1. Warm up Simplify • i56 • (3 + i)(4 – 2i) • Find the exact Volume

  2. Questions over HW?

  3. Skills Check

  4. Nth Roots & Rational Exponents

  5. Parts of a radical No number where the root is means it’s a square root (2)

  6. Simplifying Radicals Break down the radicand in to prime factors. Bring out groups by the number of the root.

  7. Simplify

  8. Simplify

  9. Simplify

  10. Simplify

  11. Rewriting a Radical to have a Rational Exponent

  12. Rewriting Radicals to Rational Exponents Power is on top Roots are in the ground

  13. Rewrite with a Rational Exponent

  14. Rewrite with a Rational Exponent

  15. Rewrite with a Rational Exponent

  16. Rewrite with a Rational Exponent

  17. Rewrite with a Rational Exponent

  18. Rewriting Rational Exponents to Radicals

  19. Rewrite with a Rational Exponent(don’t evaluate)

  20. Rewrite with a Rational Exponent(don’t evaluate)

  21. Rewrite with a Rational Exponent(don’t evaluate)

  22. SIMPLIFY Sometimes you can simplify in the calculator. KNOW how to do it by hand!! • Change to a radical • Prime Factor • Bring out groups of the root

  23. Negatives Under the Radical Odd is OK • Odd Roots CAN have negatives under the radical • Even Roots cannotkeep negatives under the radical. You must bring out an i.

  24. SIMPLIFY

  25. SIMPLIFY

  26. SIMPLIFY

  27. SIMPLIFY

  28. SIMPLIFY

  29. Worksheet You can work with a partner.

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