Упростите выражение [latex] \sqrt{7-2 \sqrt{6} } + \sqrt{7+2 \sqrt{6} } [/latex]

[latex] \sqrt{7-2 \sqrt{6} } + \sqrt{7+2 \sqrt{6} } = \\\ = \sqrt{( \sqrt{6})^2 -2\cdot \sqrt{6}\cdot1+1^2 } + \sqrt{( \sqrt{6})^2 +2\cdot \sqrt{6}\cdot1+1^2} = \\\ = \sqrt{( \sqrt{6}-1)^2} + \sqrt{( \sqrt{6}+1)^2} =| \sqrt{6}-1| + | \sqrt{6}+1|= \\\ = \sqrt{6}-1 + \sqrt{6}+1=2 \sqrt{6} [/latex]