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Question

If z = 2 + $$\sqrt{3i}$$, find the value of z $$\overline z$$.


Solution

$$z=2+\sqrt { 3 } i\\ \bar { z } =2-\sqrt { 3 } i\\ z.\bar { z } =(2+\sqrt { 3 } i)(2-\sqrt { 3 } i)\\ ={ 2 }^{ 2 }-3({ i }^{ 2 })\\ =4+3(1)=7$$

Mathematics

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