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Simplify each radical.?

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3 Answers

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  • 3 weeks ago

    = √252

    = √(4 * 63)

    = √(4 * 9 * 7)

    = √4 * √9 * √7

    = 2 * 3 * √7

    = 6√7

    = 3√96

    = 3√(4 * 24)

    = 3√(4 * 4 * 6)

    = 3 * √4 * √4 * √6

    = 3 * 2 * 2 * √6

    = 12√6

  • ?
    Lv 7
    3 weeks ago

    √252 = 6√7

    3√96 = 12√6 

  • 3 weeks ago

    Break it down into lowest factors. I think that’s what it’s called. 

    252 = 2 * 126 = 2 * 2 * 63 = 2 * 2 * 9 * 7 = 2 * 2 * 3 * 3 * 7

    2^2 * 3^2 * 7 = 2(3)*✅7 = 6✅7 (sorry. That’s the best I can do when it comes to square root sign.)

    Do the same for 96. 

    3 * 32 = 3 * 16 * 2 = 3 * 2 * 4^2

    3(4)✅6 = 12✅6

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