Question 13
The ex-radii of a triangle are $$10$$, $$12$$ and $$14$$. If the sides of the triangle are the roots of the cubic $$x^{3}-px^{2}+qx-r=0$$, where $$p,q,r$$ are integers, find the integer nearest to $$\sqrt{p+q+r}$$.
Correct Answer: 58
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