9514 1404 393
Answer:
3√5 ≈ 6.708
Step-by-step explanation:
The distance between points is given by the distance formula:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\d=\sqrt{(4-7)^2+(-5-1)^2}=\sqrt{(-3)^2+(-6)^2}\\\\d=\sqrt{9+36}=\sqrt{9\cdot5}\\\\\boxed{d=3\sqrt{5}\approx 6.708}[/tex]
