$50\tan \left[3{\tan }^{-1} \left(\frac{1}{2}\right)+2{\cos }^{-1} (1/\sqrt{5})\right]+4\sqrt{2}\tan \left(\frac{1}{2}{\tan }^{-1} \left(2\sqrt{2}\right)\right)=$

$\begin{array}{rcl} & & 50\tan \left[3{\tan }^{-1} \left(\frac{1}{2}\right)+2{\cos }^{-1} (1/\sqrt{5})\right]+4\sqrt{2}\tan \left(\frac{1}{2}{\tan }^{-1} \left(2\sqrt{2}\right)\right)\\ & =& 50 \tan \left(3{\tan }^{-1} \left(\frac{1}{2}\right)+2{\tan }^{-1} \left(2\right)\right)+4\sqrt{2}\tan \left(\frac{1}{2}{\tan }^{-1} \left(2\sqrt{2}\right)\right)\\ & =& 50\tan \left({\tan }^{-1} \left(\frac{1}{2}\right)+2\left({\tan }^{-1} \left(\frac{1}{2}\right)+{\tan }^{-1} \left(2\right)\right)\right)+4\sqrt{2}\sqrt{\frac{1-{\displaystyle \frac{1}{3}}}{1+\frac{1}{3}}}\\ & =& 35+4\sqrt{2}\left(\frac{1}{\sqrt{2}}\right)\\ & =& \frac{50}{2}+4\\ & =& 29\end{array}$