# Find the distance of the line segment whose endpoints are (5,7) and (-2,3) in simplest radical form.

sqrt [(7-3)^2 + (5 -(-2))^2]

= sqrt [16 + 49]

= sqrt 65

That is the simplest form I can think of. sqrt means "square root of"

## That's correct! The distance of the line segment with endpoints (5,7) and (-2,3) is √65 in simplest radical form.

## To find the distance of a line segment whose endpoints are (5,7) and (-2,3) in simplest radical form, you can use the distance formula in the coordinate plane.

The distance formula is given by:

d = sqrt((x2 - x1)^2 + (y2 - y1)^2)

In this case,

x1 = 5, y1 = 7

x2 = -2, y2 = 3

Plugging these values into the formula, we get:

d = sqrt((-2 - 5)^2 + (3 - 7)^2)

Now, let's simplify this expression:

d = sqrt((-7)^2 + (-4)^2)

= sqrt(49 + 16)

= sqrt(65)

So, the distance of the line segment is sqrt(65) in simplest radical form.