Relations and Functions

Relations and Functions

Question

Write the conjugates of the following complex numbers :

space space space space space space space square root of negative 16 end root space minus space square root of negative 9 end root space straight i

 

Answer

 z  = space space space space space space space space square root of negative 16 end root space minus space square root of negative 9 end root space straight i space equals space 4 square root of negative 1 end root minus 3 square root of negative 1 space straight i end root space equals space 4 straight i space minus space 3 straight i. space straight i
= 4i - 3i2 = 4i + 3 = 3 +4i
Hence,  space space space space space space space space space top enclose straight z space space equals space space top enclose 3 space plus space 4 straight i end enclose space space equals space 3 space minus space 4 straight i
Conjugate of a -purely real number z is equal to z itself.

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