The expression is .
Using the conjugates to Rationalize a denominator.
\; The conjugate of
is
.
Apply product of sum and defference property: .
Evaluate powers: .
(Subtract:
)
(Rewrite:
)
Distribute terms using distributive property: .
(Simplify)
Rewrite the expression using product property of square roots;
\For nonnegative real numbers a and b, .
(Multiply:
)
(Apply standard division form:
)
(Cancel common terms)
The simplified expression is .