Упростите Корень из 11-6корней из 2

[latex] \sqrt{11} -6 \sqrt{2} = \frac{ (\sqrt{11} -6 \sqrt{2} )( \sqrt{11} +6 \sqrt{2} )}{ \sqrt{11} +6 \sqrt{2} } = \\ \\ = \frac{ (\sqrt{11}) ^{2} -(6 \sqrt{2} ) ^{2} }{ \sqrt{11} +6 \sqrt{2} } = \frac{11-72}{\sqrt{11} +6 \sqrt{2} } =- \frac{61}{\sqrt{11} +6 \sqrt{2} } [/latex]