Question

Find the distance between the following points:

`(3sqrt3, 6); (sqrt3, 4)`

Answer 1

We need to find the distance between the points:

`(3sqrt3, 6) and (sqrt3, 4)`

Step 1: Recall the distance formula

`"Distance" = sqrt((x_2 − x_1)^2 + (y_2 − y_1)^2)`

Step 2: Identify the coordinates

`x_1​ = 3sqrt3​, y_1​ = 6`

`x^2 = sqrt3, y_2 = 4`

Step 3: Substitute values

`"Distance" = sqrt((sqrt3 − 3 sqrt3)^2 + (4 − 6)^2)`

= `sqrt((−2 sqrt3)^2 + (−2)^2)`

= `sqrt((4 xx 3) + 4)` 

= `sqrt (12 + 4)`

= `sqrt16`

=  4 units