${{3\sqrt 2 } \over {\sqrt 6 + \sqrt 3 }} - {{4\sqrt 3 } \over {\sqrt 6 + \sqrt 2 }} + {{\sqrt 6 } \over {\sqrt 3 + \sqrt 2 }} = $

If $x = 3 - \sqrt {5,} $ then ${{\sqrt x } \over {\sqrt 2 + \sqrt {(3x - 2)} }} = $

${{12} \over {3 + \sqrt 5 - 2\sqrt 2 }} = $

If $x = {2^{1/3}} - {2^{ - 1/3}},$ then $2{x^3} + 6x = $

The value of the fifth root of $10^{10^{10}}$ is

If ${x^y} = {y^x},$then ${(x/y)^{(x/y)}} = {x^{(x/y) - k}},$ where $k = $