9514 1404 393
Answer:
8/65 -(1/65)i
Step-by-step explanation:
When there is a complex number in the denominator, the denominator can be made real by multiplying numerator and denominator by the conjugate of the denominator.
[tex]\dfrac{1}{8+i}=\dfrac{8-i}{(8+i)(8-i)}=\dfrac{8-i}{8^2-i^2}=\boxed{\dfrac{8}{65}-\dfrac{1}{65}i}[/tex]
