Монгол Бодлогын Сан

$f(a;b)=\dfrac{(a^{\frac 13}+b^{\frac 13})(a^{\frac 16}b^{-\frac 13}+a^{-\frac 13}b^{\frac 16})^2}{a^{-1}+b^{-1}-(a^{-\frac 23}-b^{-\frac 23})(a^{-\frac 13}-b^{-\frac13})}-2a^{\frac 12}b^{\frac 12}$ байг. $f(1+\sqrt{2};3-\sqrt{2})=\fbox{a}, f(3;3-\sqrt{3})=\fbox{b}-\sqrt{\fbox{c}}$ байна.