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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