Question

Find the distance between the two points in simplest radical form.
(3,7) and (9,9)

Answer 1

The answer is

`2 √(10) \: \: units`

Explanation:

The distance between two points can be found by using the formula

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

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(3,7) and (9,9)

The distance between them is

`d = \sqrt{ ({3 - 9})^(2) + ({7 - 9})^(2) } \\ = \sqrt{ ({ - 6})^(2) + ({ - 2})^(2) } \\ = √(36 + 4) \\ = √(40)`

We have the final answer as

`2 √(10) \: \: units`

Hope this helps you