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vivalakoda

  • 2 years ago

Subtracting radicals?

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  1. vivalakoda
    • 2 years ago
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    \[\left( 7-√54 \right) - \left( 5+√24 \right)\]

  2. Galice
    • 2 years ago
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    You can split each radical up like so: \[\sqrt{54} = \sqrt{6 \times 9}\] You can also perform the same for the other radical: \[\sqrt{24} = \sqrt{6 \times 4}\] Once you've done that, you can pull out any perfect squares that you have found. In this case, you've just found 9 and 4, which root down to 3 and 2, respectively. Now you have: \[\left( 7- 3\sqrt{6} \right) - \left( 5 + 2\sqrt{6} \right)\] Does that help?

  3. vivalakoda
    • 2 years ago
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    I've gotten as far as that, simplifying the radicals. But I'm confused as to how to go about the subtracting with a subtraction problem within a subtraction problem

  4. waterineyes
    • 2 years ago
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    Distribute -1 to the brackets..

  5. waterineyes
    • 2 years ago
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    \[-1(5+2 \sqrt{6}) = ??\]

  6. vivalakoda
    • 2 years ago
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    = -5-2√6

  7. waterineyes
    • 2 years ago
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    Yep..

  8. waterineyes
    • 2 years ago
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    Now: \[7- 3\sqrt{6} - 5 - 2\sqrt{6} = ??\]

  9. vivalakoda
    • 2 years ago
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    2-5√6? D:

  10. waterineyes
    • 2 years ago
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    Then where is the problem?? Yes, well done...

  11. vivalakoda
    • 2 years ago
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    I guess I just needed a walkthrough. Hah thanks!

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