The distance between the two points in the simplest radical form is √61
Distance between two points
From the question, we are to determine the distance between the two marked points
The marked points are (-8, 6) and (-3, 0)
The distance, d, between two points can be calculated by using the formula,
d = √((x₂ - x₁)² + (y₂ - y₁)²)
x₁ = -8
x₂ = -3
y₁ = 6
y₂ = 0
Thus,
The distance, d, between the points is
d = √((-3 - -8)² + (0 - 6)²)
d = √((-3 + 8)² + ( -6)²)
d = √((5)² + 36)
d = √(25 + 36)
d = √61
Hence, the distance between the two points in the simplest radical form is √61
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