Answer
$ \sqrt {20}$ or 4.47 unit
Work Step by Step
To calculate distance between given points (3,-2) and (-1,-4), we will use distance formula-
r = $ \sqrt { (x_{2} - x_{1}) ^{2} + (y_{2} - y_{1}) ^{2}}$
= $ \sqrt { (-1 - 3) ^{2} + (-4 - (-2)) ^{2}}$
= $ \sqrt { (-1 - 3) ^{2} + (-4 +2) ^{2}}$
= $ \sqrt { (-4) ^{2} + (-2) ^{2}}$
= $ \sqrt {16 +4}$
= $ \sqrt {20}$
= 4.47 unit