# Minimax!

Algebra Level 5

For $$S = \dfrac {\sqrt a - \sqrt b}{\sqrt {a - \sqrt b}}$$, where $$a \ne b$$ are real numbers, wthe range of $$S$$ is $$k_1 \leq S \leq k_2$$, where $$k_1$$ and $$k_2$$ are real numbers. Evaluate $$k_1+k_2$$.

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