\sqrt{19-8\sqrt{3}}+3\sqrt{3}
\sqrt{19-8\sqrt{3}}+3\sqrt{3}= =\sqrt{(4-\sqrt{3})^2}+3\sqrt{3} =4-\sqrt{3}+3\sqrt{3}= 4+2\sqrt{3}
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\sqrt{19-8\sqrt{3}}+3\sqrt{3}= =\sqrt{(4-\sqrt{3})^2}+3\sqrt{3} =4-\sqrt{3}+3\sqrt{3}= 4+2\sqrt{3}