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.