## Geometry: Common Core (15th Edition)

The distance between the two points is $2\sqrt {37}$.
The distance between two points is given by the following formula: $D = \sqrt {(x_2 - x_1)^2 + (y_2 - y_1)^2}$ Let's plug in the same points into this formula to find the distance between them: $D = \sqrt {(-2 - 0)^2 + (12 - 0)^2}$ Simplify what is inside the parentheses: $D = \sqrt {(-2)^2 + (12)^2}$ Evaluate the exponents: $D = \sqrt {4 + 144}$ Add to simplify: $D = \sqrt {148}$ Rewrite $148$ as the product of a perfect square and another factor: $D = \sqrt {4 • 37}$ Take the square root to solve for $D$: $D = 2\sqrt {37}$ The distance between the two points is $2\sqrt {37}$.