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The number 2+3√+5√−−−−−−−−−−√ is algebraic because it is a root of a monic polynomial of degree 8, namely x^8+ax^7+bx^6+cx^5+dx^4+ex^3+fx^2+g^x+h. Find |a|+|b|+|c|+|d|+|e|+|f|+|g|+|h|.

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