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:
![_Z^A\textrm{X}\rightarrow _(Z-2)^(A-4)Y+_2^4\alpha](https://img.qammunity.org/2020/formulas/chemistry/middle-school/2kpjn6x0qwi0vgl08wft8k7c7guvi9ppqz.png)
The complete alpha decay reaction will be,
![_(86)^(222)\textrm{Rn}\rightarrow _(84)^(218)\textrm{Po}+_2^4He](https://img.qammunity.org/2020/formulas/chemistry/college/kalm6plddgbok1od76h5ctvuhpeesx7iz8.png)
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).