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Simplifying Radicals

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dunn
15 diapositives · 943 Views · Jul 18, 2014

Simplifying Radicals. Radical Flashback. Simplifying Radicals: Find the greatest perfect square that goes into the radicand. Take the square root of the perfect square and keep the rest under the radical. Check Your Answers. Simplifying Square Roots with Variables.

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Simplifying Radicals
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  1. Simplifying Radicals

  2. Radical Flashback Simplifying Radicals: Find the greatest perfect square that goes into the radicand. Take the square root of the perfect square and keep the rest under the radical.

  3. Check Your Answers

  4. Simplifying Square Roots with Variables • Variables with even exponents are perfect squares: 1. = because * remember when you multiply variables, you add exponents or * remember when you have a power to a power, you multiply the exponents

  5. Simplifying Square Roots with Variables • Simplifying Perfect Squares: 2. = 4 because * 12 3. = 9 * 6 Note: The index of a square root is 2; therefore we divide the exponent by 2

  6. Simplifying Square Roots with Variables • Simplifying Radicals that are NOT perfect squares = 3 Simplify the Variable: Note: The index of a square root is 2; therefore we divide the exponent by 2. Multiply the number and the variable for the final result: outside by outside – inside by inside

  7. Simplifying Square Roots with Variables • Simplifying Radicals that are NOT perfect squares 2. = 5 Simplify the Variable: Divide the exponent by the index. The remainder stays under the radical. Multiply the number and the variable for the final result: outside by outside – inside by inside

  8. Simplifying Square Roots with Variables 3. = 6 Simplify the Variable: Divide the exponent by the index. The remainder stays under the radical. Multiply the number and the variable for the final result: outside by outside – inside by inside

  9. Simplifying Square Roots with Variables 4. = 6 Simplify the Variable: Divide the exponent by the index. The remainder stays under the radical. Multiply the number and the variable for the final result: outside by outside – inside by inside

  10. Simplifying Square Roots with Variables 5. none Simplify the Variable: Divide the exponent by the index. The remainder stays under the radical. Multiply the number and the variable for the final result: outside by outside – inside by inside

  11. Simplifying Square Roots with Variables 6. none Simplify the Variable: Divide the exponent by the index. The remainder stays under the radical. Multiply the number and the variable for the final result: outside by outside – inside by inside

  12. Simplifying Square Roots with Variables 7. = 5 Simplify the Variables: Divide the exponent by the index. The remainder stays under the radical. Multiply the number and the variable for the final result: outside by outside – inside by inside

  13. Simplifying Square Roots with Variables 8. = 3 Simplify the Variables: Divide the exponent by the index. The remainder stays under the radical. Multiply the number and the variable for the final result: outside by outside – inside by inside

  14. Practice Time

  15. Check Your Answers