Question

How do you find in radical form, the distance between the two points (-3,7) and (4,2)?

Answer 1

`sqrt74`

Explanation:

To calculate the distance use the `color(blue)"distance formula"`

`color(red)(bar(ul(|color(white)(a/a)color(black)(d=sqrt((x_2-x_1)^2+(y_2-y_1)^2))color(white)(a/a)|)))`
where `(x_1,y_1)" and " (x_2,y_2)" are 2 coordinate points"`

The 2 points here are (-3 ,7) and (4 ,2)

let `(x_1,y_1)=(-3,7)" and " (x_2,y_2)=(4,2)`

`rArrd=sqrt((4-(-3))^2+(2-7)^2)`

`=sqrt(49+25)=sqrt74larr" in radical form"`