Question

$( \frac{ \sqrt{3}-1 }{ \sqrt{2} } - \frac{ \sqrt{2} }{ \sqrt{3} +1} ) ^{15}$

Answer 1

[tex](\frac{ \sqrt{3}-1 }{ \sqrt{2} }- \frac{ \sqrt{2} }{ \sqrt{3}+1 })^{15}= \\ \\ RATIONALIZAM: \\ \\ (\frac{\sqrt{6}- \sqrt{2} }{2}- \frac{ \sqrt{6}- \sqrt{2}}{3-1})^{15}= \\ \\ 0^{15}=0[/tex]