# Sure.. Square both sides.. v2.0

Algebra Level 4

$$x$$ satisfies the equation $\sqrt{x+\sqrt{x}}-\sqrt{x-\sqrt{x}}=\dfrac{199}{100}\sqrt{\dfrac{x}{x+\sqrt{x}}}$

Also, its value can be expressed in the form $$\frac{m}{n}$$, where $$m$$ and $$n$$ are coprime positive integers, find $$m+n$$.

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