Question

question
find the distance between the two points in simplest radical form.
(6, -4) and (1, -6)

Explanation:

Step1: Recall distance formula

The distance formula between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$. Here, $x_1 = 6,y_1=-4,x_2 = 1,y_2=-6$.

Step2: Substitute values

$d=\sqrt{(1 - 6)^2+(-6+4)^2}=\sqrt{(-5)^2+(-2)^2}$.

Step3: Calculate squares

$d=\sqrt{25 + 4}$.

Step4: Simplify

$d=\sqrt{29}$.

Answer:

$\sqrt{29}$