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Two of the roots of the equation ax3+bx2+cx+d=0ax^3 + bx^2 + cx + d = 0ax3+bx2+cx+d=0 are 2−32 - \sqrt{3}2−3 and 555, where a,b,c,da,b,c,da,b,c,d are rational numbers. If the third one is m+nm + \sqrt{n}m+n for some integers mmm and nnn, find m+nm + nm+n
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