Distance between points (3, 4) and (7, 10)

Given Coordinates: x₁ = 3  y₁ = 4,  x₂ = 7  y₂ = 10
Distance Formula: d = √(x₂ − x₁)² + (y₂ − y₁)²
Substitute the given coordinates into the Distance Formula and Simplify:
d = √(7 − 3)² + (10 − 4)²
d = √4² + 6²
d = √16 + 36
d = √52
d = √4 * 13
d = √4 * √13
d = 2√13
Therefore, the distance between the points (3, 4) and (7, 10) is equal to 2√13
Note: As a decimal number, 2√13 ≈ 7.211102550928