+1911 Fill in the blanks with real numbers:
(sqrt(3) + i)*6*(6 + i)^4 = ___ + ___ i.
+129850 (sqrt 3 + i)*6 = 6sqrt 3 + 6i = a
(6 + i)^4 =
6^4 + 4*6^3 * i + 6*6^2* i^2 + 4*6*i^3 + i^4 =
1296 + 864i - 216 -24i + 1 =
1081 + 840i = b
(a)(b) = (6sqrt3 + 6i) ( 1081 + 840i) = 6486sqrt 3 + 6486 i + 5040sqrt(3) i - 5040 =
6486sqrt (3) -5040 + (6486 i + 5040sqrt (3) ) i
