Answer
$\sqrt{10}$
Work Step by Step
$(x_{1},y_{1}) = (1,1)$
$(x_{2},y_{2}) = (-2,2)$
$[d(P_1,P_2)]^{2} =(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2} =(-2-1)^{2}+(2-1)^{2}= 9+1=10$
$d(P_1,P_2) =\sqrt{10}$
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