+1859 Fill in the blanks with positive integers:
(3 + sqrt(5) - 1 + 2*sqrt(3) + 5)^2 = ___ + ___ *sqrt(5)
+129771 Simplify as
(7 + sqrt 5 + 2sqrt 3)^2 = (7 + sqrt (5) + sqrt (12))^2
[ (7 + sqrt 5) + sqrt (12) ] [ (7 + sqrt (5) + sqrt (12) ] =
(7 + sqrt 5)^2 + 2 [ (7 + sqrt (5)) * sqrt (12) ] + (sqrt (12))^2 =
49 + 14 sqrt 5 + 5 + 2*7 sqrt (12) + 2sqrt (60) + 12 =
66 + 14sqrt (5) + 14 sqrt (12) + 4sqrt (15) =
66 + 14sqrt (5) + 28sqrt (3) + 4sqrt(15)
