How do you find the distance between #(sqrt6,-6sqrt5)#, #(2sqrt6,sqrt5)#?

Question

990 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-01-18T20:15:58

When given two points, #(x_0,y_0) and (x_1,y_1)#, the distance, d, between them is:

#d = sqrt((x_1 - x_0)^2 + (y_1 - y_0)^2)#

Given: #(sqrt6,-6sqrt5) and (2sqrt6,sqrt5)#

The distance is:

#d = sqrt((2sqrt6 - sqrt6)^2 + (sqrt5 - -6sqrt5)^2)#

#d = sqrt((sqrt6)^2 + (7sqrt5)^2)#

#d = sqrt(6 + 245)#

#d = sqrt(251)#

#d~~ 15.84#