Монгол Бодлогын Сан

$f(a;b)=\Bigl(\dfrac{a^{\frac 14}(a^{\frac 14}-b^{\frac 14})^{-1}}{a^{-\frac 14}b^{\frac 14}+1}-\dfrac{b^{\frac 14}} {(a^{\frac 14}+b^{\frac 14})(a^{\frac 14}b^{-\frac 14}+1)-2a^{\frac 14}}\Bigr)(a-b)$ байг. $f(1+\sqrt{2};2-\sqrt{2})=\fbox{a}, f(3;\sqrt{5}-2)=\fbox{b}+\sqrt{\fbox{c}}$ байна.