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x+2x+2x+…+2x+23x⏟ n radical signs =x\underbrace{ \sqrt{ x+2\sqrt{x+2\sqrt{x+\ldots +2\sqrt{x+2\sqrt{3x}}}}}}_{\large \text{ n radical signs }}=x n radical signs x+2x+2x+…+2x+23x=x
Find the average of all the real roots of the equation above for a natural number n>1n>1n>1.
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