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

Answer 1

To evaluate the expression \( \sqrt{19} - \frac{3}{2} \), we need to calculate each part separately.

1. Calculate \( \sqrt{19} \): The square root of 19 is an irrational number, approximately equal to 4.3589.

2. Calculate \( \frac{3}{2} \): This is a simple fraction that equals 1.5.

Now, we can substitute these values into the expression:

\[ \sqrt{19} - \frac{3}{2} \approx 4.3589 - 1.5 = 2.8589 \]

Since \( \sqrt{19} \) is an irrational number and \( \frac{3}{2} \) is a rational number, the result of their subtraction \( \sqrt{19} - \frac{3}{2} \) will also be an irrational number.

Therefore, the type of number that will result from the expression \( \sqrt{19} - \frac{3}{2} \) is an irrational number.