Question

find the distance between the points (6, 6) and (3, 2). write your answer as a whole number or a fully simplified radical expression. do not round. units

Explanation:

Step1: Identify distance - formula

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

Step2: Assign values

Let $(x_1,y_1)=(6,6)$ and $(x_2,y_2)=(3,2)$. Then $x_2 - x_1=3 - 6=- 3$ and $y_2 - y_1=2 - 6=-4$.

Step3: Calculate squares

$(x_2 - x_1)^2=(-3)^2 = 9$ and $(y_2 - y_1)^2=(-4)^2 = 16$.

Step4: Sum squares and find square - root

$d=\sqrt{9 + 16}=\sqrt{25}=5$.

Answer:

5