[m]\sqrt{(5-\sqrt{17})^2}=|5-\sqrt{17}|=5-\sqrt{17}[/m]
2)
[m]\sqrt{(-14-\sqrt{7})^2}=|-14-\sqrt{7}|=14+\sqrt{7}[/m]
3)
[m]\sqrt{(\sqrt{11}-6)^2}=|\sqrt{11}-6|=6-\sqrt{11}[/m]
4)
[m]\sqrt{6+4\sqrt{12}}=\sqrt{(2+\sqrt{2})^2}=|2+\sqrt{2}|=2+\sqrt{2}[/m]