# Math Help - Rationalizing the Denominator

1. ## Rationalizing the Denominator

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2. Originally Posted by casey_k
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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 $\frac {-7 \sqrt{3}}3$)

3. $\frac{4}{1-\sqrt{3}} - \frac{1}{\sqrt{3}}$

like in the image rationalize then

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

get the lcd which is $6$

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

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

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