Multiply the numerator and denominator by the conjugate of the denominator
\. Conjugate of
is
.
(Using multiply formula:
)
(Evaluate powers:
)
(Multiply the numerator using FOIL method)
(Multiply:
)
(Multiply:
)
(Distributive property:
)
(Subtract: 8 - 3 = 5)
(Substitute the imaginary unit value
)
(Product of two same signs is positive)
(Commutative property: a + b = b + a)
(Add: 6 + 4 = 10 and 16 + 9 = 25)
(Write standard division form:
)
(Divide:
)
The simplified expression is .