Question

question
find the distance between the two points in simplest radical form.
(5,0) and (2,4)

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 $(x_1,y_1)=(5,0)$ y $(x_2,y_2)=(2,4)$. Sustituimos:
$d=\sqrt{(2-5)^2+(4-0)^2}$

Step3: Calculate differences inside roots

$d=\sqrt{(-3)^2+(4)^2}$

Step4: Compute squares and sum

$d=\sqrt{9+16}=\sqrt{25}$

Step5: Simplify the radical

$d=5$

Answer:

$5$