For the pair of points, find the distance between the two points. Simplify the expression. (2, 5) and (10, 9)
A) $5 \sqrt { 4 }$
B) 4
C) $2 \sqrt { 40 }$
D) $4 \sqrt { 5 }$
E) $8 \sqrt { 10 }$

Question

Quizplus · Accepted Answer

Using the distance formula: 
$$\sqrt{(10-2)^2 + (9-5)^2} = \sqrt{8^2 + 4^2} = \sqrt{64+16} = \sqrt{80} = \sqrt{16 \cdot 5} = 4\sqrt{5}$$ So the answer is D.

For the Pair of Points, Find the Distance Between the Two