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Infinite roots

Algebra Level 3

$\left(\sqrt{7\sqrt{3\sqrt{7\sqrt{3\sqrt{\cdots}}}}} \right)^3 - \left(\sqrt{3\sqrt{7\sqrt{3\sqrt{7\sqrt{\cdots}}}}} \right)^3 = \, ?$

43 84 145 63

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by Nxin Nasn

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