Distance between points (1, 2) and (4, 5)

Given Coordinates: x₁ = 1  y₁ = 2,  x₂ = 4  y₂ = 5
Distance Formula: d = √(x₂ − x₁)² + (y₂ − y₁)²
Substitute the given coordinates into the Distance Formula and Simplify:
d = √(4 − 1)² + (5 − 2)²
d = √3² + 3²
d = √9 + 9
d = √18
d = √9 * 2
d = √9 * √2
d = 3√2
Therefore, the distance between the points (1, 2) and (4, 5) is equal to 3√2
Note: As a decimal number, 3√2 ≈ 4.2426406871193