Answer
$d\approx 11.09$
Work Step by Step
RECALL:
The distance between the points $(x_1, y_1)$ and $x_2, y_2)$ can be found using the distance formula:
$d=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}$
Solve for the distance between the two points using the formula above to obtain:
$d=\sqrt{[2\sqrt3-(-\sqrt{3})]^2+(\sqrt{6}-5\sqrt{6})^2}
\\d=\sqrt{(2\sqrt3+\sqrt3)^2+(-4\sqrt6)^2}
\\d=\sqrt{(3\sqrt3)^2+16(6)}
\\d=\sqrt{9(3)+96}
\\d=\sqrt{27+96}
\\d=\sqrt{123}
\\d\approx 11.09$
