About closable operators

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I was wondering, if the closure of two operators in a Hilbert Space with dense domain, both have the same domain $D$, is equal to the composition of the closure of each operator, I mean \begin{equation} \overline{ac}(u)= \bar a \bar c (u) \quad \forall \quad u\in D \end{equation} Maybe this questions is basic, but I haven't found the solution.