Simplify the following:
$\displaystyle \frac{{}4\surd{6} - 4\surd{2}}{4\surd{2}+4\surd{6}}$
Please show all steps where possible.
Any help would be appreciated!
If you have something of the form $\displaystyle \displaystyle a + b$, the conjugate is $\displaystyle \displaystyle a - b$.
This means that when you multiply them together, the middle terms cancel.
In this case, by multiplying by the conjugate, after expanding you won't have any extra surd terms in the middle...