((2+√(3))/(2-√(3))+(2-√(3))/(2+√(3))+(√(3)-1)/(√(3)+1)) simplifies to · ABC26GN1445
Subject: General Aptitude · Chapter: Square Roots and Cube Roots · Exam: S.S.C. 2008
$\left(\frac{2+\sqrt{3}}{2-\sqrt{3}}+\frac{2-\sqrt{3}}{2+\sqrt{3}}+\frac{\sqrt{3}-1}{\sqrt{3}+1}\right)$ simplifies to
(a)$16-\sqrt{3}$
(b)$4-\sqrt{3}$
(c)$2-\sqrt{3}$
(d)$2+\sqrt{3}$
Answer
Explanation
Given $\exp .=\frac{(2+\sqrt{3})}{(2-\sqrt{3})} \times \frac{(2+\sqrt{3})}{(2+\sqrt{3})}+\frac{(2-\sqrt{3})}{(2+\sqrt{3})} \times \frac{(2-\sqrt{3})}{(2-\sqrt{3})}$ $$+\frac{(\sqrt{3}-1)}{(\sqrt{3}+1)} \times \frac{(\sqrt{3}-1)}{(\sqrt{3}-1)}$$
Explanation as extracted from the printed page; notation may be imperfect.
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