We explore the prospects of upcoming 21-cm surveys of cosmic dawn () to provide cosmological information on top of upcoming cosmic microwave background (CMB) and large-scale structure surveys, such as CMB-S4, Simons Observatory (SO) and DESI. We focus on the effective number of relativistic species which is a promising observable for probing beyond the Standard Model theories. We show including upcoming 21-cm surveys such as the Square Kilometre Array (SKA) can allow probing a wide range of models for light particles at level achieving with CMB-S4, for example. Taking into account the degeneracy between and primordial helium fraction , one can achieve improvements in sensitivities to cosmological parameters, in particular, by more than a factor of 2 for and dark matter fractional energy density .

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