# M&N

Algebra Level 3

Given that:

$${ \left( \sqrt { 125 } +\frac { \sqrt { 5 } +4 }{ 2\sqrt { 5 } -3 } \right) }^{ 0.5 }\times \sqrt { 3\sqrt { 5 } -1 } =\quad m\sqrt { n }$$

Where m and n are integers, find the value of $$m+n$$.

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