Hello There ~
For this, we need to evaluate the approximate value of root 32, that is equal to : 5.65
we simply need to put the approximate valuw in expression and find the result.
![\longrightarrow \tt - 12 + √(32)](https://img.qammunity.org/2023/formulas/mathematics/high-school/qxdusfl569kup8rodz2m8y6i0hjmsatk5o.png)
![\longrightarrow \tt - 12 + 5.65](https://img.qammunity.org/2023/formulas/mathematics/high-school/nbcyufsgmpzpn76vc03c8rf8fwv6agyobm.png)
![\longrightarrow \tt - 6.34](https://img.qammunity.org/2023/formulas/mathematics/high-school/4nzqh6b7mk1j1kw4p09lc730fcaf1nigsm.png)
![\longrightarrow \tt \approx - 6.3](https://img.qammunity.org/2023/formulas/mathematics/high-school/3byw4g4hnriuedjcr90u79esr083v1vhhs.png)
Hence, the first option over there is the most suitable choice.
Hope it helps -',...,'-