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Math Help - Rationalizing the Denominator

  1. #1
    Junior Member casey_k's Avatar
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    Rationalizing the Denominator

    .
    Attached Thumbnails Attached Thumbnails Rationalizing the Denominator-untitled.jpg  
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  2. #2
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by casey_k View Post
    .
    well, you ended up with two fractions. maybe you should try combining them and see what happens...

    (note that the 4/(-2) gives you the -2 in the answer that you want. so you want to add the other two fractions to get the \frac {-7 \sqrt{3}}3)
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  3. #3
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    \frac{4}{1-\sqrt{3}} - \frac{1}{\sqrt{3}}

    like in the image rationalize then

    \frac{4+4\sqrt{3}}{-2}-\frac{\sqrt{3}}{3}

    get the lcd which is  6

    \frac{-12-12\sqrt{3}-2\sqrt{3}}{6}

    \frac{-12-14\sqrt{3}}{6}

    -2- \frac{7\sqrt{3}}{3}

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