Simplify (frac{sqrt{3}}{sqrt{3} -1} + frac{sqrt{3}}{sqrt{3} + 1})
-
A.
(frac{1}{2}) -
B.
3 -
C.
(2sqrt{3}) -
D.
6
Correct Answer: Option B
Explanation
(frac{sqrt{3}}{sqrt{3} – 1} + frac{sqrt{3}}{sqrt{3} + 1})
= (frac{sqrt{3}(sqrt{3} + 1) + sqrt{3}(sqrt{3} – 1)}{(sqrt{3} – 1)(sqrt{3} + 1)})
= (frac{3 + sqrt{3} + 3 – sqrt{3}}{3 + sqrt{3} – sqrt{3} – 1})
= (frac{6}{2} = 3)