Question 584016
find the length of the segment joining the given points and the midpoint of the segment.
(2sqrt5-1,4+6sqrt11)(2sqrt5+1,4-6sqrt11)
the answer is 
d=2 sqrt 397
-----
d = sqrt[[(2sqrt(5)-1-(2sqrt(5)+1)]^2 + [(4+6sqrt(11)-(4-sqrt(11))]^2]
----
d = sqrt[(-2)^2 + (2sqrt(11))^2]
----
d = sqrt[4 + 4*11]
d = sqrt[48]
d = 16sqrt(3)
==========================
Midpoint = (sum of 1st coordinates)/2 , (sum of 2nd coordinate)/2)
Midpoint = ((4sqrt(5)/2 , 8/2)
Midpoint = (2sqrt(5),4)
================================== 


when I foil 2 sqrt5 +1 times its self do I get 5x4=20 then add 1 or 2 to it? 
(2sqrt(5) + 1)(2sqrt(5)+1)
F = 4*5
O = 2sqrt(5)
I = 2sqrt(5)
L = 1
---
Combine to get: 21 + 4sqrt(5)
================================
Cheers,
Stan H.
==============