Distance between points (4, 5) and (7, 8)

Given Coordinates: x₁ = 4  y₁ = 5,  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 − 4)² + (8 − 5)²
d = √3² + 3²
d = √9 + 9
d = √18
d = √9 * 2
d = √9 * √2
d = 3√2
Therefore, the distance between the points (4, 5) and (7, 8) is equal to 3√2
Note: As a decimal number, 3√2 ≈ 4.2426406871193