计算：

\((2)\dfrac{\sqrt{6}-\sqrt{3}}{\sqrt{3}}+(2+\sqrt{2})(2-\sqrt{2})\)

化简下列各式

\((1)\sqrt{\dfrac{1}{7}\times }\sqrt{28}+\sqrt{12}-12\sqrt{\dfrac{1}{6}}+(\sqrt{48}-\sqrt{18})\div \sqrt{2}\)

\((2)(2\sqrt{3}+2)(2\sqrt{3}-2)+{{(\sqrt{2}+2)}^{2}}-{{(3\sqrt{3})}^{2}}\)

如图，数轴上与\(1\)，\(\sqrt{2}\)对应的点分别为\(A\)，\(B\)，点\(B\)关于点\(A\)的对称点为\(C\)，设点\(C\)表示的数为\(x\)，则\(\left| x-\sqrt{2} \right|+\dfrac{2}{x}=\)：

计算：\((1)\)\(\sqrt[3]{(1- \dfrac{1}{9})( \dfrac{2}{3}-1)}- \sqrt{(-4{)}^{2}}× \sqrt{ \dfrac{1}{4}} \)．

 \((2)\sqrt[3]{-1}-\left( \sqrt[3]{8}-4 \right)\div \sqrt{{{6}^{2}}}+|\sqrt{3}-2|\)

计算：\(\sqrt{27}-\sqrt{8}\cdot \sqrt{\dfrac{2}{3}}=\)________．

计算：\(5\sqrt{6} ÷\sqrt{2} -3\sqrt{ \dfrac{1}{3}} +2\sqrt{12} \)

\((5)\begin{cases} x{+}y{=}5 \\ 2x{+}3y{=}11 \end{cases}\)．

计算：

\((1) \dfrac{{x}^{2}}{x-y}- \dfrac{{y}^{2}}{x-y} \)                    \((2)\) ．\( \dfrac{2{b}^{2}}{a+b}-a+b \)

\((3){\left( \dfrac{y}{6{x}^{2}}\right)}^{2}÷{\left(- \dfrac{{y}^{2}}{4x}\right)}^{2} \)             \((4) \sqrt{6}-\left(2 \sqrt{ \dfrac{3}{2}}-3 \sqrt{ \dfrac{2}{3}}\right)- \sqrt{24} \)

\((5)\left(2 \sqrt{5}+3 \sqrt{2}\right)\left(2 \sqrt{5}-3 \sqrt{2}\right) _{\;\;\;\;\;\;\;\;\;\;\;\;\;\;}(6)\left|- \sqrt{2}\right|- \sqrt{8}+{\left(1- \sqrt{3}\right)}^{0}+ \dfrac{1}{ \sqrt{2}+ \sqrt{3}} \)

\( \dfrac{1}{2- \sqrt{3}}+ \sqrt{27}- \sqrt{ \dfrac{1}{2}}+( \sqrt{48}- \sqrt{24})÷ \sqrt{6} \) \(2 \sqrt{3}-3 \sqrt{ \dfrac{1}{3}}- \sqrt{8}+ \dfrac{1}{2} \sqrt{12}+ \dfrac{1}{5} \sqrt{50} \)