# smallest sphere

Geometry Level 2

The radius of smallest sphere which passes through the points $$(1,0,0) (0,1,0)$$ and $$(0,0,1)$$ has radius given by $$\sqrt { \frac { a }{ b } }$$ where $$a$$ and $$b$$ are coprime to each other. then $$a+b$$ is equal to?

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