What type of number will result from the expression square root of 19 - 3/2 an integer and irrational number a whole number or a rational number

Answer 1

To evaluate the expression \( \sqrt{19} - \frac{3}{2} \), we will determine the types of numbers involved in the result.

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 because it can be expressed as the fraction of two integers (3 and 2).

3. Subtract \( \frac{3}{2} \) from \( \sqrt{19} \):

   • The result of subtracting a rational number from an irrational number is always an irrational number.

Therefore, the expression \( \sqrt{19} - \frac{3}{2} \) will result in an irrational number.