If \(\varepsilon_0\) and \(\mu_0\) are respectively the electrical permittivity and magnetic permeability of vacuum, the dimensional formula for \(\dfrac{1}{\sqrt{\mu_0 \varepsilon_0}}\) is
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Remember:
\[
c=\frac{1}{\sqrt{\mu_0\varepsilon_0}}
\]
So this expression always has the dimensions of velocity.