Question

find the distance between the pair of points. ( square root 5, square root 2) and -3 square root 5, 5 square root 2)

Answer 1

use the distance formula

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

= sqrt ( (5 sqrt2 - sqrt2)^2 + ( -3sqrt5 - sqrt5)^2)

= sqrt [( 4sqrt2)^2 + (4sqrt5)^2]

= sqrt (32 + 16*5) = sqrt 112 = sqrt16 * sqrt7 = 4 sqrt7

The answer is 4 sqrt7