Distance between points (1, 6) and (7, 2)

Given Coordinates: x₁ = 1  y₁ = 6,  x₂ = 7  y₂ = 2
Distance Formula: d = √(x₂ − x₁)² + (y₂ − y₁)²
Substitute the given coordinates into the Distance Formula and Simplify:
d = √(7 − 1)² + (2 − 6)²
d = √6² + (-4)²
d = √36 + 16
d = √52
d = √4 * 13
d = √4 * √13
d = 2√13
Therefore, the distance between the points (1, 6) and (7, 2) is equal to 2√13
Note: As a decimal number, 2√13 ≈ 7.211102550928