Lời giải:
\(M\sqrt{2}=\sqrt{4+2\sqrt{3}}+\sqrt{28-10\sqrt{3}}\)
\(=\sqrt{3+1+2\sqrt{3}}+\sqrt{5^2+3-2.5\sqrt{3}}\)
\(=\sqrt{(\sqrt{3}+1)^2}+\sqrt{(5-\sqrt{3})^2}\)
\(=\sqrt{3}+1+5-\sqrt{3}=6\)
\(\Rightarrow M=\frac{6}{\sqrt{2}}=3\sqrt{2}\)
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