a/ \(\dfrac{\sqrt{a}-\sqrt{2}}{a-4}=\dfrac{\sqrt{a}-\sqrt{2}}{\left(\sqrt{a}-\sqrt{2}\right)\left(\sqrt{a}+\sqrt{2}\right)}=\dfrac{1}{\sqrt{a}+\sqrt{2}}\)
b/ \(\dfrac{a+2\sqrt{a}+1}{a-1}=\dfrac{\left(\sqrt{a}+1\right)^2}{\left(\sqrt{a}-1\right)\left(\sqrt{a}+1\right)}=\dfrac{\sqrt{a}+1}{\sqrt{a}-1}\)
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