Question

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

Answer 1

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

We have then:

$d=\sqrt{(x2-x1)^2+(y2-y1)^2}$

Substituting values in the given equation we have:

$d=\sqrt{(6-4)^2+(5\sqrt{2}-3\sqrt{2})^2}$

Rewriting the equation we have:

$d=\sqrt{(2)^2+(2\sqrt{2})^2}$

$d=\sqrt{4+8}$

$d=\sqrt{12}$

$d=\sqrt{3*4}$

$d=2\sqrt{3}$

Answer:

The distance between the points is:

$d=2\sqrt{3}$

Answer 2

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