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Math Help - How do I Rationalize the denominator?? Please assist.

  1. #1
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    How do I Rationalize the denominator?? Please assist.




    3√2
    ____
    4√3-√8
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  2. #2
    MHF Contributor
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    Hi

    \frac{3\sqrt{2}}{4\sqrt{3}-\sqrt{8}}=\frac{(3\sqrt{2})(4\sqrt{3}+\sqrt{8})}{(  4\sqrt{3}-\sqrt{8})(4\sqrt{3}+\sqrt{8})} = \frac{12\sqrt{6}+12}{(4\sqrt{3})^2-(\sqrt{8})^2}

    \frac{3\sqrt{2}}{4\sqrt{3}-\sqrt{8}} = \frac{12(\sqrt{6}+1)}{40} = \frac{3(\sqrt{6}+1)}{10}
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