QuestionFind the distance between the points $(-8,-1)$ and $(-3,-6)$. Write your answer as a whole number or a fully simplified radical expression. Do not round. $\square$ units

Studdy Solution
Simplify the expression:
$$d = \sqrt{(-3 + 8)^2 + (-6 + 1)^2}$$ $$d = \sqrt{5^2 + (-5)^2}$$ $$d = \sqrt{25 + 25}$$ $$d = \sqrt{50}$$ $$d = \sqrt{25 \times 2}$$ $$d = \sqrt{25} \times \sqrt{2}$$ $$d = 5\sqrt{2}$$
The distance between the points is:
$$\boxed{5\sqrt{2}}$$ units