What does a zero matter

Algebra Level 1

Two of the roots of the equation ax3+bx2+cx+d=0ax^3 + bx^2 + cx + d = 0 are 232 - \sqrt{3} and 55, where a,b,c,da,b,c,d are rational numbers. If the third one is m+nm + \sqrt{n} for some integers mm and nn, find m+nm + n

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