Multiply the numerator and denominator by the conjugate of the denominator. Conjugate of
is
.
Multiply the numerator and denominator by .
(Multiply the numerator using FOIL method)
(Multiply:
)
(
)
(Evaluate powers:
)
(Substitute the imaginary unit value
)
(Multiply:
)
(Apply Distributive property:
)
(Add:
)
(Apply Commutative property:
)
(Add:
)
(Write the equation in standard form)
The simplified expression is .