Question

Find the distance between the two points in simplest radical form.
(-5,6) and (-3,-1)

Answer 1

√53

Explanation:

Formula

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

Givens

x1 = -5

x2 = -3

y1 = 6

y2 = - 1

Solution

d = sqrt( ( -3 - -5)^2 + (-1 - 6)^2 )

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

d = sqrt( 2^2 + 49)

d = sqrt(4 + 49)

d = sqrt(53)