Question

What type of number will result from the expression 19−−√−32?(1 point)
Responses

an integer
an integer

an irrational number
an irrational number

a rational number
a rational number

a whole number

Answer 1

To evaluate the expression \( \sqrt{19} - 32 \):

1. \( \sqrt{19} \) is approximately \( 4.36 \) (it is an irrational number).
2. Next, subtract \( 32 \):
\[
\sqrt{19} - 32 \approx 4.36 - 32 \approx -27.64
\]

The result \( \sqrt{19} - 32 \) is still not an integer, and it is not a whole number.

Since \( \sqrt{19} \) is an irrational number, and the operation of subtracting a rational number (32) from it does not change its irrational nature, the result will remain an irrational number.

Thus, the correct response is:

**an irrational number**