What is the distance between the points with coordinates $(-5,5)$ and $(5,-5)$? Express your answer in simplest radical form.
Distance =
√ [ (subtract the x coordinates)^2 + (subtract the y coordinates)^2 ] =
√ ( - 5 - 5)^2 + ( 5 - - 5)^2 ] =
√ (-10)^2 + ( 10)^2 ] =
√ [ 100 + 100] =
√ [100 * 2 ] =
√ 100 * √2
10√2 units