[tex]\huge\boxed{2\sqrt{29}}[/tex]
Use the distance formula:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Substitute in the known values.
[tex]d=\sqrt{(6-2)^2+(-7-3)^2}[/tex]
Subtract.
[tex]d=\sqrt{4^2+(-10)^2}[/tex]
Find the powers.
[tex]d=\sqrt{16+100}[/tex]
Add.
[tex]d=\sqrt{116}[/tex]
Find two factors of [tex]116[/tex].
[tex]d=\sqrt{4*29}[/tex]
Find the two factors of [tex]4[/tex].
[tex]d=\sqrt{2*2*29}[/tex]
Move the pair outside the square root.
[tex]d=\boxed{2\sqrt{29}}[/tex]
