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broderick365

  • 3 years ago

simplify radical 32??

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  1. hawkfalcon
    • 3 years ago
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    What is a small(ish) number that can be rooted that fits into that? Like 9,16,25,36.

  2. broderick365
    • 3 years ago
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    2 @hawkfalcon

  3. hawkfalcon
    • 3 years ago
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    Not 2, that can't be rooted. In this case you would use 16.

  4. hawkfalcon
    • 3 years ago
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    For simplifying radicals, find a rootable number that fits into your radical an even amount of times. So, 16.

  5. hawkfalcon
    • 3 years ago
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    Then, 32/16 = 2, so you are left with a 2 in the radical, and the root of 16 outside of it.

  6. broderick365
    • 3 years ago
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    so the answer is 16 radical 2

  7. hawkfalcon
    • 3 years ago
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    No, you have to root the 16, as you moved it outside of the radical. Think of it as \[\sqrt{16} * \sqrt{2} at this point. so \it would be 4\sqrt{2}\]

  8. hawkfalcon
    • 3 years ago
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    Does that make sense?

  9. broderick365
    • 3 years ago
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    yes thanks

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