To determine the type of number that results from the expression \(\sqrt{19} - \frac{3}{2}\), we can analyze each component of the expression.
- \(\sqrt{19}\) is an irrational number, as 19 is not a perfect square and cannot be expressed as a fraction of two integers.
- \(\frac{3}{2}\) is a rational number.
When you subtract a rational number from an irrational number, the result remains irrational. Therefore, the expression \(\sqrt{19} - \frac{3}{2}\) is irrational.
So, the answer is: an irrational number.