Find the distance between the pair of points.
-$(2 \sqrt{2}, 2 \sqrt{11})$ and $(9 \sqrt{2},-2 \sqrt{11})$
A) 274
B) $2 \sqrt{55}$
C) 220
D) $\sqrt{274}$

Question

Quizplus · Accepted Answer

The distance between two points $(x_1, y_1)$ and $(x_2, y_2)$ in a plane is given by the formula $\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$. Substituting the given points $(2\sqrt{2}, 2\sqrt{11})$ and $(9\sqrt{2}, -2\sqrt{11})$, we get $\sqrt{(9\sqrt{2} - 2\sqrt{2})^2 + (-2\sqrt{11} - 2\sqrt{11})^2} = \sqrt{(7\sqrt{2})^2 + (-4\sqrt{11})^2} = \sqrt{98 + 176} = \sqrt{274}$.

Find the Distance Between the Pair of Points (22,211)(2 \sqrt{2}, 2 \sqrt{11})(22​,211​)

Find the Distance Between the Pair of Points $(2 \sqrt{2}, 2 \sqrt{11})$