(24√3+27)/(2√3+3)
(24√3+27)/(2√3+3)*
(2√3-3)/(2√3-3)
Numerator:
(24√3+27)(2√3-3) becomes
9(7 - 2√3)
Denominator:
(2√3+3)(2√3-3) becomes 3.
We now have 9(7 - 2√3)/3, which further simplifies to 3(7 - 2√3).
Correct?
To:harpazo, do you not think that $\dfrac{(24\sqrt3+27)}{(2\sqrt3+3)}$ is not easier to read than what you posted?
All you need do is a basic bit of LaTeX "\dfrac{(24\sqrt3+27)}{(2\sqrt3+3)}" rapped in dollar signs.
Learning LaTeX is so easy. Very few commands will make your posts so much more readable and inviting.
Why not try?