Someone please help I will mark brainliest

Answer:
2[tex]\sqrt{5}[/tex]
Step-by-step explanation:
use the distance formula for points P and Q
d = sq rt of the difference of the y-values, squared, plus the difference of the x-values, squared
d = sq rt (3-1)^2 + (-2-2)^2
d = sq rt (2^2 + (-4)^2)
d = [tex]\sqrt{4+16}[/tex]
d = [tex]\sqrt{20}[/tex]
d = [tex]\sqrt{4}[/tex] · [tex]\sqrt{5}[/tex]
f = 2[tex]\sqrt{5}[/tex]