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Math Help - Find k

  1. #1
    MHF Contributor
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    Find k

    If sqrt{96}/2 = k(sqrt{6}), find k.

    I multiplied both sides by 2 and got

    sqrt{96} = 2k(sqrt{6})

    Do I now divide both sides by 2(sqrt{6}) to find k?
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  2. #2
    Newbie Mirado's Avatar
    Joined
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    solved

    Yes, you can do that, though when you try to solve these problems, do not add terms to the side with the variable you are trying to isolate.

    I mean that you want to get things away from the "k", at least in this stage of the game.

    To save you time, don't do the first step, but instead just do this:
    (1/\sqrt{6}) \times (\sqrt{96}/2) = (k\sqrt{6}) \times (1/\sqrt{6})
    \sqrt{16}/2 = k
    4/2 = k
    k=2

    have fun
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