The expression is .
Using the conjugates to rationalize a denominator.
\; The conjugate of
is
.
(Apply product of sum and difference property: )
(Evaluate powers: )
(Subtract:
)
(Apply distributive property: )
(Re write
)
(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 .