Question

sums & products of rational & irrational numbers quick check
what type of number will result from the expression \\(\sqrt{19} - \frac{3}{2}\\)? (1 point)
\\(\circ\\) an irrational number
\\(\circ\\) a whole number
\\(\circ\\) a rational number
\\(\circ\\) an integer

Explanation:

Step1: Classify $\sqrt{19}$

$\sqrt{19}$ is irrational (19 is not a perfect square, so its square root cannot be written as a ratio of two integers).

Step2: Classify $\frac{3}{2}$

$\frac{3}{2}$ is rational (it is a ratio of two integers).

Step3: Apply number property

The difference of an irrational number and a rational number is irrational.

Answer:

an irrational number