Find the multiplicative inverse of the following complex numbers :
√5 + 3i
Given complex number is Z=
+3i
We know that the multiplicative inverse of a complex number Z is 
.
⇒ 
Multiplying and dividing with 
-3i
⇒ 
⇒ 
⇒ 
We know that i2=-1
⇒ 
⇒ 
∴ The Multiplicative inverse of 
+3i is 
.
4