Method of partial fraction decomposition for fractional power

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Can we decompose

$\frac{1}{(\sqrt{s}+1)(s^{2}+1)} = \frac{A}{\sqrt{s}+1} + \frac{Bs+C}{s^{2}+1}?$

I think the method of partial fraction decomposition will not work here due to fractional power in the denominator. Is there way to decompose it?