Question

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

a rational number
a rational number

an irrational number
an irrational number

a whole number
a whole number

an integer

Answer 1

To evaluate the expression \( \sqrt{19} - 32 \), we need to consider the components of the expression.

1. **Calculate \( \sqrt{19} \)**: The square root of 19 is an irrational number since 19 is not a perfect square.
2. **Subtract 32 from \( \sqrt{19} \)**: The number 32 is a rational number (it can be expressed as \( \frac{32}{1} \)).

When you subtract a rational number (32) from an irrational number (\( \sqrt{19} \)), the result is always an irrational number. This is because the sum or difference of a rational number and an irrational number is always irrational.

Therefore, the type of number that will result from the expression \( \sqrt{19} - 32 \) is:

**an irrational number**.