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rationalize
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|dw:1339438822010:dw|
i got 1.504
\[\frac{1}{1+\sqrt{3}-\sqrt{5}}\times \frac{(1-\sqrt{3})+\sqrt{5}}{(1-\sqrt{3})+\sqrt{5}}=\frac{1-\sqrt{3}+\sqrt{5}}{-7-\sqrt{15}}\]
Now multiply numerator and denominator by -7+sqrt15. That will rationalize the denominator.
should the denomenator be 1 becaus eeverything will cancle
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\[\frac{1-\sqrt{3}+\sqrt{5}}{-7-\sqrt{15}}\times \frac{-7+\sqrt{15}}{-7+\sqrt{15}}=\]
\[\frac{-7+12\sqrt{3}-10\sqrt{5}+\sqrt{15}}{34}\]
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