Answer: We can use the distance formula to find the distance between the two points (3, -7) and (-2, -2):
distance = √[(x₂ - x₁)² + (y₂ - y₁)²]
where (x₁, y₁) = (3, -7) and (x₂, y₂) = (-2, -2)
distance = √[(-2 - 3)² + (-2 - (-7))²]
distance = √[(-5)² + (5)²]
distance = √[25 + 25]
distance = √50
Simplifying the radical, we can factor out a perfect square of 25 from 50:
distance = √(25 x 2)
distance = 5√2
Therefore, the distance between the two points in simplest radical form is 5√2 units.
Explanation: