Multiply the numerator and denominator by the conjugate of the denominator
.
Conjugate of
is
.
Multiply the numerator and denominator by 


Distribute terms using distributive property:
.

(Multiply:
)
(
)
(Substitute the imaginary unit value
)
(Product of two same signs is positive)
(Add:
)
(Write the expression in standard form)
(Divide:
)
The simplified expression is
.