Answer
The distance between the two points is $2\sqrt {17}$.
Work Step by Step
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:
$D = \sqrt {(0 - 8)^2 + (0 - 2)^2}$
Simplify what is inside the parentheses:
$D = \sqrt {(-8)^2 + (-2)^2}$
Evaluate the exponents:
$D = \sqrt {64 + 4}$
Add to simplify:
$D = \sqrt {68}$
Rewrite $68$ as the product of a perfect square and another factor:
$D = \sqrt {4 • 17}$
Take the square root to solve for $D$:
$D = 2\sqrt {17}$
The distance between the two points is $2\sqrt {17}$.
