Question

What type of number will result from the expression √19 − 3/2 ?(1 point)
Responses

A) a rational number

B) an irrational number

C) a whole number

D) an integer

Answer 1

To evaluate the expression \( \sqrt{19} - \frac{3}{2} \), we need to consider the nature of \( \sqrt{19} \) and \( \frac{3}{2} \).

1. **Determine \( \sqrt{19} \)**:
- The square root of 19 is approximately 4.3589, which is an irrational number since 19 is not a perfect square.

2. **Rationality of \( \frac{3}{2} \)**:
- The fraction \( \frac{3}{2} \) is a rational number.

3. **Combining the two**:
- When you subtract a rational number from an irrational number, the result is always an irrational number.

So, \( \sqrt{19} - \frac{3}{2} \) will be an irrational number.

Thus, the correct response is:

**B) an irrational number**