e: \(\dfrac{3\sqrt{5}-2\sqrt{2}}{2\sqrt{5}-3\sqrt{2}}=\dfrac{18+5\sqrt{10}}{2}\)

72: \(=\dfrac{\left(\sqrt{a}+\sqrt{b}\right)\left(a-\sqrt{ab}+b\right)}{\sqrt{a}+\sqrt{b}}=a-\sqrt{ab}+b\)

`= ((1-sqrta)(1-sqrta))/((sqrta+1)(sqrta-1))`

`=-(1-2 sqrt a +a)/(a-1)``

\(\dfrac{1-\sqrt{a}}{1+\sqrt{a}}=\dfrac{\left(1-\sqrt{a}\right)\left(1-\sqrt{a}\right)}{\left(1+\sqrt{a}\right)\left(1-\sqrt{a}\right)}=\dfrac{1-2\sqrt{a}+a}{1-a}\)

\(\frac{\sqrt{5}-\sqrt{3}}{\sqrt{2}}=\frac{\sqrt{2}\left(\sqrt{5}-\sqrt{3}\right)}{2}\)

\(\dfrac{-2}{3\sqrt{11}}\\ =\dfrac{-2\sqrt{11}}{3\cdot11}\\ =\dfrac{-2\sqrt{11}}{33}\)

\(=\dfrac{3\sqrt{5}+3}{2}\)

\(=\dfrac{3+\sqrt{5}}{2}\)