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Simplify $\frac{1+\sqrt{2}}{2+\sqrt{5}}$. Your solution can be converted to the form $-A \sqrt{A} + \sqrt{B} + \sqrt{C} - D$, where A, B, C, and D are positive integers. What is $A+B+C+D$?

 Aug 21, 2021
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A + B + C + D = 58.

 Aug 21, 2021

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