Rationalize the denominator. [ frac{sqrt{5}-sqrt{6}}{sqrt{5}+sqrt{6}} ] ( frac{sqrt{5}-sqrt{6}}{sqrt{5}+sqrt{6}}= ) ( square ) (Type an exact answer, using radicals as needed.)
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So, we get \[\frac{(\sqrt{5}-\sqrt{6})(\sqrt{5}-\sqrt{6})}{(\sqrt{5}+\sqrt{6})(\sqrt{5}-\sqrt{6})}\] This simplifies to \[\frac{5-2\sqrt{30}+6}{5-6} = \frac{11-2\sqrt{30}}{-1}\] Show more…
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