Question

plz answer Q-10, if you then only u answer otherwise plz don't spam or ask anything else....

Answer 1

Ah !

Your Question Simplifies to :

${4}^{5 log_{ {2}^{ \frac{5}{2} } }(3 - \sqrt{6} ) - 6 log_{ {2}^{3} }( \sqrt{3 } - \sqrt{2} ) }$

Which hopefully reduces to :

${4}^{ \frac{2}{5} .5 log_{2}(3 - \sqrt{6} ) + \frac{6}{3} log_{2}( \sqrt{3} - \sqrt{2} ) }$

Which further reduces to :

${4}^{2log_{2}( \frac{3 - \sqrt{6} }{ \sqrt{3} - \sqrt{2} } ) }$
$= {( \frac{3 - \sqrt{6} }{ \sqrt{3} - \sqrt{2} } )}^{2 log_{2}(4) }$

$= { \sqrt{3} }^{ \: 4} = 9$