If a^4+1/(a^4)=50, then find the value of a^3+1/(a^3).

$\sqrt{2(1+\sqrt{3})}+(-1+2 \sqrt{13})$

$\sqrt{2(1+\sqrt{3})}(3-2 \sqrt{13})$

$\sqrt{2(\sqrt{13}+1)}(3+2 \sqrt{13})$

$\sqrt{2(1-\sqrt{3})}(-1+2 \sqrt{13})$