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

1 Answer
Jim G.
Sep 25, 2016

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"

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