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
.