ANSWER
[tex]\sqrt{26}[/tex]
EXPLANATION
Given the coordinates p(2,2) and Q(3,7),
we can use the distance formula to find the distance between P and Q.
The distance formula is given by,
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
We substitute the coordinates to get,
[tex]d=\sqrt{(3-2)^2+(7-2)^2}[/tex]
[tex]d=\sqrt{(1)^2+(5)^2}[/tex]
[tex]d=\sqrt{1+25}[/tex]
[tex]d=\sqrt{26}[/tex]