计算(1)2+i分之(1+2i)+3(1-i);(2)(√3+i)分之1-√3i
问题描述:
计算(1)2+i分之(1+2i)+3(1-i);(2)(√3+i)分之1-√3i
答
(1)(1+2i)/(2+i)+3(1-i)=(-3+4i)(2-i)/5+3-3i=(-2+11i)/5+3-3i=(13-4i)/5; (2) (1-√3i)/(√3+i)=(1-√3i)/(2+2√3i)=(1-√3i)/8= -(1+√3i)/4.