# RMO practice question 7

Algebra Level 5

Let $$a,b,c$$ be the roots of $$x^{3}-9x^{2}+11x-1=0$$ and $$ω=\sqrt{a}+\sqrt{b}+\sqrt{c}$$ , the find the value of $ω^{4}-18ω^{2}-8ω+40.$

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