To evaluate the expression \( \sqrt{19} - \frac{3}{2} \), let's analyze both parts:
- \( \sqrt{19} \) is an irrational number because 19 is not a perfect square.
- \( \frac{3}{2} \) is a rational number.
Now, when you subtract a rational number from an irrational number (i.e., \( \sqrt{19} - \frac{3}{2} \)), the result will still be an irrational number.
So the type of number that results from the expression \( \sqrt{19} - \frac{3}{2} \) is an irrational number.