find the distance between the two points in simplest radical form. $(-8,3)$ and $(-2,-5)$

Explanation:

Step1: Recall distance formula

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

Step2: Assign values to variables

Let $(x_1,y_1)=(-8,3)$ and $(x_2,y_2)=(-2,-5)$. Substitute into formula: $d=\sqrt{(-2-(-8))^2+(-5-3)^2}$

Step3: Simplify inside the square root

First compute each difference: $(-2-(-8))=6$, $(-5-3)=-8$ Then square the results: $6^2=36$, $(-8)^2=64$ Sum the squares: $36+64=100$

Step4: Simplify the square root

$d=\sqrt{100}=10$

Answer:

10