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

Given Coordinates: x₁ = 1  y₁ = 2,  x₂ = 6  y₂ = 7
Distance Formula: d = √(x₂ − x₁)² + (y₂ − y₁)²
Substitute the given coordinates into the Distance Formula and Simplify:
d = √(6 − 1)² + (7 − 2)²
d = √5² + 5²
d = √25 + 25
d = √50
d = √25 * 2
d = √25 * √2
d = 5√2
Therefore, the distance between the points (1, 2) and (6, 7) is equal to 5√2
Note: As a decimal number, 5√2 ≈ 7.0710678118655