11) \(M=\dfrac{1}{2}\sqrt{32}-2\sqrt{50}+\dfrac{\sqrt{22}}{\sqrt{11}}\)
\(=\dfrac{1}{2}.4\sqrt{2}-2.5\sqrt{2}+\sqrt{2}\)
\(=2\sqrt{2}-10\sqrt{2}+\sqrt{2}\)
\(=-7\sqrt{2}\)
12) \(N=\left(\sqrt{12}+2\sqrt{27}-\sqrt{3}\right):\sqrt{3}\)
\(=\sqrt{\dfrac{12}{3}}+2\sqrt{\dfrac{27}{3}}-1\)
\(=2+6-1\)
\(=7\)
13) \(K=\dfrac{6}{2-\sqrt{3}}+\sqrt{7-4\sqrt{3}}-\sqrt{75}\)
\(=6.\left(2+\sqrt{3}\right)+\sqrt{\left(2-\sqrt{3}\right)^2}-5\sqrt{3}\)
\(=12+6\sqrt{3}+2-\sqrt{3}-5\sqrt{3}\)
\(=14\)
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