\[\boxed{\text{368\ (368).}\text{\ }\text{Еуроки\ -\ ДЗ\ без\ мороки}}\]
\[\textbf{а)}\ x^{2} = 11\]
\[x = \pm \sqrt{11}.\]
\[\sqrt{x} = 11\]
\[\left( \sqrt{x} \right)^{2} = 11^{2}\ \]
\[x = 121.\]
\[\textbf{б)}\ 2x^{2} = \frac{1}{2}\]
\[x^{2} = \frac{1}{2}\ :2 = \frac{1}{4}\]
\[x = \pm \sqrt{\frac{1}{4}}\]
\[x = \pm \frac{1}{2}.\]
\[2 \cdot \sqrt{x} = \frac{1}{2}\]
\[\sqrt{x} = \frac{1}{2}\ :2 = \frac{1}{4}\]
\[\left( \sqrt{x} \right)^{2} = \left( \frac{1}{4} \right)^{2}\]
\[x = \frac{1}{16}.\]