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Simply Radical!

Learn how to solve square roots, factor radicands, multiply square roots, use variables in radicals, and apply the add/subtract roots rule. Master the art of simplifying square roots step by step!

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Simply Radical!

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Presentation Transcript

  1. Simply Radical! The tale of square roots

  2. Solve the following root:

  3. Solve the following root:

  4. Steps in Simplifying Square Roots Factor the radicand using perfect squares. Take the square root of the perfect square and leave the other factor inside as the radicand. If you pull out a perfect square when another number is already in front of the square root, the two numbers are multiplied

  5. Try it!

  6. Multiplying Square Roots Multiply the numbers outside the radical together and separately multiply the numbers inside the radical Simplify using the prior method

  7. How ‘bout it?

  8. What about variables!!?? Write variables in long notation i.e: For every two variables inside the radical, one pulls out front of the radical.

  9. Add/Subtract Roots Rule: You can only add/subtract square roots if the two terms have the same radicand. Simplify both square roots first and see if they combine

  10. Example

  11. Try it!

  12. How ‘bout this one!

  13. Remember FOIL?

  14. Do Now: Multiply, then Simplify

  15. Dividing Square Roots

  16. QUE!!!

  17. QUE!!!

  18. Math is

  19. Tangram Time! See the power of the Square Root!!!

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