# Root sum of roots.

Level pending

$$\sqrt{a} + \sqrt{b}$$ is root of a monic polynomial of grade 4 with integers coefficients $$x^4 +a_{3}x^3 +a_{2}x^2 + a_{1}x + a_{0}$$ , where $$a$$ and $$b$$ are coprime integers. We know that $$a_{2} = -10 a_{0}$$ and the sum of the coefficients is $$-2a -b$$.

Find $$(a-4b)^2$$

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