To evaluate the expression \( \sqrt{19} - 32 \):
- The square root of 19, \( \sqrt{19} \), is an irrational number because 19 is not a perfect square.
- Subtracting 32 from \( \sqrt{19} \) will still yield an irrational number because the difference of an irrational number and a rational number (32, in this case) is still irrational.
Therefore, the expression \( \sqrt{19} - 32 \) results in an irrational number.