What type of number will result from the expression square root of 19 minus 3/2 but is it a rational number, irrational, whole number, or an integar

Answer 1

To determine the type of number that results from the expression \(\sqrt{19} - \frac{3}{2}\), we can analyze each part:

1. Evaluate \(\sqrt{19}\): The square root of 19 is an irrational number because 19 is not a perfect square.

2. Evaluate \(\frac{3}{2}\): This is a rational number since it can be expressed as the fraction of two integers.

Now we consider the expression:

\[ \sqrt{19} - \frac{3}{2} \]

Since \(\sqrt{19}\) is irrational and \(\frac{3}{2}\) is rational, the result of subtracting a rational number from an irrational number is still irrational.

Thus, \(\sqrt{19} - \frac{3}{2}\) is an irrational number.