Calculate the distance between the points (-7, -2) and (-1, 6).

$\sqrt{(-1-(-7){)}^2+(6-(-2){)}^2}=\sqrt{6^2+8^2}=\sqrt{36+64}=\sqrt{100}=10$. The value 14 is 6 + 8, which measures the path along the grid lines rather than the straight line; $2\sqrt{7}=\sqrt{28}$ comes from subtracting the squares (64 - 36); and $\sqrt{52}$ comes from a sign slip that turns $6-(-2)$ into 6 - 2 = 4.