If ${a^x} = bc,{b^y} = ca,\,{c^z} = ab,$ then $xyz$=
$0$
$1$
$x + y + z$
$x + y + z + 2$
${{3\sqrt 2 } \over {\sqrt 6 + \sqrt 3 }} - {{4\sqrt 3 } \over {\sqrt 6 + \sqrt 2 }} + {{\sqrt 6 } \over {\sqrt 3 + \sqrt 2 }} = $
If ${x^y} = {y^x},$then ${(x/y)^{(x/y)}} = {x^{(x/y) - k}},$ where $k = $
$\sqrt {(3 + \sqrt 5 )} $ is equal to
If ${({a^m})^n} = {a^{{m^n}}}$, then the value of $'m'$ in terms of $'n'$ is
The cube root of $9\sqrt 3 + 11\sqrt 2 $ is