Sure.. Square both sides.. v2.0

Algebra Level 4

xx satisfies the equation x+xxx=199100xx+x\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 mn\frac{m}{n}, where mm and nn are coprime positive integers, find m+nm+n.

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