What is the distance from Point A #(3sqrt2, 4sqrt3)# to Point B #(3sqrt2 - sqrt3)#?

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Answer 1 · 2016-07-02T07:20:53

The distance between #(3sqrt2,4sqrt3)# and #(3sqrt2,-sqrt3)# is #5sqrt3#

The distance between two points #(x_1,y_1)# and #(x_2,y_2)# on a Cartesian Plane is given by

#sqrt((x_2-x_1)^2+(y_2-y_1)^2)#

Hence distance between #(3sqrt2,4sqrt3)# and #(3sqrt2,-sqrt3)# is

#sqrt((3sqrt2-3sqrt2)^2+(-sqrt3-4sqrt3)^2)#

= #sqrt(0^2+(-5sqrt3)^2)#

= #sqrt((5sqrt3)^2)#

= #5sqrt3#