500

Algebra Level 2

\(\sqrt { 500+\sqrt { 500+\sqrt { 500+... } } } \quad can\quad be\quad expressed\quad \\ in\quad the\quad form\quad \frac { a+\sqrt { b } }{ c } \quad where\quad \frac { a+\sqrt { b } }{ c } \quad is\quad \\ irreducible.\quad What\quad is\quad the\quad value\quad of\\ a+b-c?\)

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