Sodium hydroxide reacts with zinc to form sodium zincate (\( \text{Na}_2\text{ZnO}_2 \)) and hydrogen gas (\( \text{H}_2 \)). The balanced reaction is:
\[2\text{NaOH} + \text{Zn} \rightarrow \text{Na}_2\text{ZnO}_2 + \text{H}_2\]
This reaction demonstrates the amphoteric nature of zinc, which reacts with alkali to release hydrogen gas.