What type of number will result from the expression 19−−√−32 ?

1 answer

To solve the expression \( \sqrt{19} - 32 \), we will first calculate \( \sqrt{19} \).

We know that \( \sqrt{19} \) is a positive real number because it is the square root of a positive number. Its approximate value is a little over 4, since \( 4^2 = 16 \) and \( 5^2 = 25 \).

Now we can compute the entire expression:

\[ \sqrt{19} - 32 \approx 4.36 - 32 \]

Calculating this gives:

\[ 4.36 - 32 \approx -27.64 \]

Since this results in a negative number, the overall result of the expression \( \sqrt{19} - 32 \) is a negative real number.

Therefore, the type of number that results from the expression \( \sqrt{19} - 32 \) is a negative real number.