If $x = {{\sqrt 5 + \sqrt 2 } \over {\sqrt 5 – \sqrt 2 }},y = {{\sqrt 5 – \sqrt 2 } \over {\sqrt 5 + \sqrt 2 }},$ then $3{x^2} + 4xy – 3{y^2} = $

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

The value of ${{15} \over {\sqrt {10} + \sqrt {20} + \sqrt {40} – \sqrt 5 – \sqrt {80} }}$ is

If ${a^x} = bc,{b^y} = ca,\,{c^z} = ab,$ then $xyz$=

If ${({a^m})^n} = {a^{{m^n}}}$, then the value of $'m'$ in terms of $'n'$ is