[tex]\displaystyle \bf \\
\sqrt{12^2 + 5^2}+ \sqrt[\b3]{\bf8}- \sqrt[\b3]{\bf216}=\\\\
=\sqrt{144 + 25}+ \sqrt[\b3]{\bf 8}- \sqrt[\b3]{\bf 216}=\\\\
=\sqrt{169}+ \sqrt[\b3]{\bf 8}- \sqrt[\b3]{\bf 216}=\\\\
=\sqrt{13^2}+ \sqrt[\b3]{\bf 2^3}- \sqrt[\b3]{\bf 6^3}=\\\\
=13+2-6 = 15-6 = \boxed{\bf 9}
[/tex]
