Question

question
find the distance between the two points in simplest radical form.
(8, -4) and (3, 8)

Explanation:

Step1: Recall distance formula

La fórmula de distancia entre dos puntos $(x_1,y_1)$ y $(x_2,y_2)$ es $d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Step2: Assign values to variables

Sea $(x_1,y_1)=(8,-4)$ y $(x_2,y_2)=(3,8)$. Sustituimos:
$d=\sqrt{(3-8)^2+(8-(-4))^2}$

Step3: Calculate differences inside squares

$d=\sqrt{(-5)^2+(12)^2}$

Step4: Compute squared terms

$d=\sqrt{25+144}$

Step5: Sum and simplify radical

$d=\sqrt{169}=13$

Answer:

13