33−1+ 33+1\;\frac{\sqrt{3}}{\sqrt{3} - 1} + \;\frac{\sqrt{3}}{\sqrt{3} + 1}3−13+3+13
= 3(3 + 1)+3(3 − 1)(3−1)(3+1)\;\frac{\sqrt{3}(\sqrt{3}\;+\;1) + \sqrt{3}(\sqrt{3}\;-\;1)}{(\sqrt{3}-1)(\sqrt{3}+1)}(3−1)(3+1)3(3+1)+3(3−1)
= 3 + 3 + 3 − 33 + 3−3−1\;\frac{3\;+\;\sqrt{3}\;+\;3\;-\;\sqrt{3}}{3\;+\;\sqrt{3} - \sqrt{3} - 1}3+3−3−13+3+3−3
= 62=3\;\frac{6}{2} = 326=3
