What type of number will result from the expression √19-3/2

Question

?(1 point)
Responses

a rational number
a rational number

an irrational number
an irrational number

a whole number
a whole number

an integer
an integer

Answer 1

To evaluate the expression \(\sqrt{19} - \frac{3}{2}\):

1. The square root of 19, \(\sqrt{19}\), is an irrational number (because 19 is not a perfect square).
2. The fraction \(\frac{3}{2}\) is a rational number.

When you subtract a rational number from an irrational number, the result is always an irrational number. Therefore:

The result of the expression \(\sqrt{19} - \frac{3}{2}\) is an irrational number.

So the correct response is:

an irrational number.