Question

Find the distance between the points (6, 5 square root 2) and (4, 3square root 2).

Answer 1

The distance would be 2√3 , in other words it is 2 square root 3

Answer 2

For this case we use the distance formula between two points.

We have then:

`d=√((x2-x1)^2+(y2-y1)^2)`

Substituting values in the given equation we have:

`d=\sqrt{(6-4)^2+(5√(2)-3√(2))^2}`

Rewriting the equation we have:

`d=\sqrt{(2)^2+(2√(2))^2}`

`d=√(4+8)`

`d=√(12)`

`d=√(3*4)`

`d=2√(3)`

Answer:

The distance between the points is:

`d=2√(3)`