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

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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:

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

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

$d = sqrt(6 + 245)$

$d = sqrt(251)$

$d~~ 15.84$

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