Question

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

Answer 1

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

Explanation:

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`