Distance between points (1, 2) and (7, 8)

Given Coordinates: x₁ = 1  y₁ = 2,  x₂ = 7  y₂ = 8
Distance Formula: d = √(x₂ − x₁)² + (y₂ − y₁)²
Substitute the given coordinates into the Distance Formula and Simplify:
d = √(7 − 1)² + (8 − 2)²
d = √6² + 6²
d = √36 + 36
d = √72
d = √36 * 2
d = √36 * √2
d = 6√2
Therefore, the distance between the points (1, 2) and (7, 8) is equal to 6√2
Note: As a decimal number, 6√2 ≈ 8.4852813742386