[tex]\sqrt{11} + \sqrt{64} -2\sqrt{44} =\\\\\sqrt{11} + 8-2\sqrt{44}=\\\\\sqrt{11} +8 -2\sqrt{4\times11} =\\\\\sqrt{11} +8-2\sqrt{4}\times\sqrt{11}=\\\\\sqrt{11} +8 - 2(2) \times \sqrt{11} =\\\\\sqrt{11}+8-4\sqrt{11}=\\\\ 8+\sqrt{11} -4\sqrt{11}=\\\\\boxed{\bf{8 -3\sqrt{11}}}[/tex]
Your answer is C.
