Answer:
d=4√2
Step-by-step explanation:
[tex]3,2) = (x_1,y_1) \\
(6,6) = (x_2 , y_2)[/tex]
[tex]d = \sqrt{ {(x_2 - x_1) ^{2}+ {(y_2 - y_1)}^{2} } } [/tex]
Plug in values into the equation
[tex]d = \sqrt{ {(6 - 2)}^{2} + {(6 - 2)}^{2} } \\ d = \sqrt{ {(4)}^{2} + {(4)}^{2} } \\ d = \sqrt{16 + 16} \\[/tex]
[tex]d = \sqrt{32} \\ d = 4 \sqrt{2} [/tex]