Math is radical 3

Algebra Level pending

\[\large \sqrt[8]{ \frac{2-\sqrt3}{{ 2 + \sqrt{3}}}}\] can be written as

\[\displaystyle \frac{\sqrt{a}+ \sqrt{b} + \sqrt{c + \sqrt{d}} +e }{\sqrt{f}+ \sqrt{g} + \sqrt{h + \sqrt{i}} +j}\] where \(a,b,c,d,e,f,g,h,i\) and \(j\) are integers. Find: \[\Large a+b+c+d+e+f+g+h+i+j\]

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