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If one root of the equation x4−4x3−16x2−8x+4=0x^4-4x^3-16x^2-8x+4=0x4−4x3−16x2−8x+4=0 can be expressed as a+b+c+da+\sqrt{b}+\sqrt{c}+\sqrt{d}a+b+c+d where bbb, ccc and ddd are square-free numbers, then find a+bcda+bcda+bcd.
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