Thực hiện phép tính
a) \(\sqrt {\frac{1}{8}} \cdot \sqrt 2 \cdot \sqrt {125} \cdot \sqrt {\frac{1}{5}} ;\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\sqrt {\sqrt 2 - 1} \cdot \sqrt {\sqrt 2 + 1} \).
b) \(\sqrt {{{(\sqrt 2 - 3)}^2}} \cdot \sqrt {11 + 6\sqrt 2 } ;\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\sqrt {{{(\sqrt 3 - 3)}^2}} \cdot \sqrt {\frac{1}{{3 - \sqrt 3 }}} \).
\(c)\, - \frac{2}{3}\sqrt {\frac{{{{(a - b)}^2}{b^5}}}{c}} \cdot \frac{9}{4}\sqrt {\frac{{{c^3}}}{{2(a - b)}}} \sqrt {98b} \)
d) \(\left( {\sqrt 6 - 3\sqrt 3 + 5\sqrt 2 - \frac{1}{2}\sqrt 1 } \right)2\sqrt 6 \)
e) \(\left( {\sqrt {ab} + 2\sqrt {\frac{b}{a}} - \sqrt {\frac{a}{b} + \sqrt {\frac{1}{{ab}}} } } \right)\sqrt {ab} \).
g) \(\left( {\frac{{am}}{b}\sqrt {\frac{n}{m}} - \frac{{ab}}{n}\sqrt {mn} + \frac{{{a^2}}}{{{b^2}}}\sqrt {\frac{m}{n}} } \right){a^2}{b^2} \cdot \sqrt {\frac{n}{m}} \).