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Radicals

Radicals. Adding & Subtracting. Adding Radicals. First, simplify each radical in the equation Write the number in terms of its prime factors Circle the pairs Take one number “out” of the radical for each pair Multiply this number by any other number outside the radical sign Example:.

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Radicals

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  1. Radicals Adding & Subtracting

  2. Adding Radicals • First, simplify each radical in the equation • Write the number in terms of its prime factors • Circle the pairs • Take one number “out” of the radical for each pair • Multiply this number by any other number outside the radical sign • Example:

  3. Adding Radicals • Second, add “like” terms • In order for a radical to be considered a “like term” it must have exactly the same number inside. • Examples: Like Terms: Not Like Terms:

  4. Imaginary “1” • If a radical does not have a number in front of it, then it is really a 1. It may help you to write the number 1 in front of the radical when you add and subtract. • Example:

  5. Combining color blobs • Just like variables that are different letters, radicals with different numbers are completely different and can’t be combined. • Just like we can’t add we can’t combine because they are totally different numbers. Think of them as colored blobs: Let

  6. Example: • Using our colored blobs, that’s just: • 2 + 3 • Which is the same as • + = • 2 + 3 = 5 SO:

  7. Example: • Using our colored blobs, that’s just: • 2 + 3 • Which is the same as • + = • 2 + 3 = can’t simplify any further! SO:

  8. TRY THIS: • Using our colored blobs, that’s just: • 2 + 3 + 1 + 5 • Which is the same as • + =

  9. TRY THIS: • Using our colored blobs, that’s just: • 2 + 3 + 1 + 5 • Which is the same as • + = • 4 + 8 = can’t simplify any further! SO:

  10. TRY THIS:

  11. Adding Radicals

  12. Adding Radicals

  13. Adding Radicals: TRY THIS…

  14. Try these on your own: 1) 2) 3) 4)

  15. Subtracting Radicals:

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