SOLUTION: Find the distance between each pair of points whose coordinates are given. Express answers in simplest form. (√8,√3) ( √3,-√8)

Algebra ->  Square-cubic-other-roots -> SOLUTION: Find the distance between each pair of points whose coordinates are given. Express answers in simplest form. (√8,√3) ( √3,-√8)      Log On


   

Question 1080728: Find the distance between each pair of points whose coordinates are given. Express answers in simplest form.
(√8,√3) ( √3,-√8)
Found 2 solutions by Fombitz, Boreal:
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Use the distance formula,
D%5E2=%28sqrt%283%29-sqrt%288%29%29%5E2%2B%28-sqrt%288%29-sqrt%283%29%29%5E2
D%5E2=%28sqrt%283%29-sqrt%288%29%29%5E2%2B%28sqrt%288%29%2Bsqrt%283%29%29%5E2
D%5E2=3-2sqrt%283%29sqrt%288%29%2B8%2B8%2B2sqrt%283%29sqrt%288%29%2B3
D%5E2=3%2B8%2B8%2B3
D%5E2=22
D=sqrt%2822%29

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
distance is the sqrt ((x2-x1)^2+(y2-y1)^2)
That is sqrt {[-sqrt(8)-sqrt (3)]^2+[sqrt(3)-sqrt(8)]^2}
=sqrt (8+2 sqrt(24)+3+3-2sqrt(24)+8)
=sqrt(22)