SOLUTION: 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 midpoint is (2 sqr

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
midpoint is (2 sqrt5, 4)
when I foil 2 sqrt5 +1 times its self do I get 5x4=20 then add 1 or 2 to it?
It is sad when I have the answer that I can't do it but this one is very confusing to me.
thank you!
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
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.
==============
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