Answer : The daughter nucleus is, polonium (Po).
Explanation :
Alpha decay : In this process, alpha particles is emitted when a heavier nuclei decays into lighter nuclei. The alpha particle released has a charge of +2 units.
The general representation of alpha decay reaction is:
[tex]_Z^A\textrm{X}\rightarrow _{Z-2}^{A-4}Y+_2^4\alpha[/tex]
The complete alpha decay reaction will be,
[tex]_{86}^{222}\textrm{Rn}\rightarrow _{84}^{218}\textrm{Po}+_2^4He[/tex]
From this we conclude that, when radon-222 undergoes alpha decay then it transmutates into polonium daughter nucleus.
Hence, the daughter nucleus is, polonium (Po).