计算 (根号3+根号3i)^3·(3-4i)/4+3i_数学解答

计算 (根号3+根号3i)^3·(3-4i)/4+3i

人气：173 ℃　时间：2020-05-09 06:13:30

解答

(√3+√3i)³·(3-4i)/4+3i
=3√3(1+i)³·(3-4i)/4+3i
=3√3·2i(1+i)(3-4i)/4+3i
=3√3·2i(7-i)/4+3i
=(21√3i+3√3)/2+3i
=[6i+21(√3)i+3√3]/2