You have the points:
(3, -6)
(-1, 1)
To find the distance between two point knowing the coordinates (x,y) you can use the next formula:
[tex]d=\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]Then:
x1 = 3 y1 = -6
x2 = -1 y2 = 1
[tex]d=\sqrt[]{(-1-3)^2+(1-(-6))^2}[/tex][tex]d=\sqrt[]{(^{}-4)^2+7^2}[/tex][tex]d=\sqrt[]{16+49}=\sqrt[]{65}[/tex]To simplify you can factorize the number under the root to know if the number can have a part that has a sqare root, as follow:
As you can see 65 can be writen as (5*13) and as none of those numbers have a perfect square root (whole number) the final answer is:
[tex]d=\sqrt[]{65}[/tex]
