Question

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

Answer 1

Answer:

The answer is

$2 \sqrt{10} \: \: units$

Step-by-step 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

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

We have the final answer as

$2 \sqrt{10} \: \: units$

Hope this helps you